5618160000 has 720 divisors, whose sum is σ = 22255172940. Its totient is φ = 1410048000.

The previous prime is 5618159999. The next prime is 5618160001. The reversal of 5618160000 is 618165.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5618160000 is a `hidden beast` number, since 56 + 1 + 8 + 1 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5618159999) and next prime (5618160001).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5618160001) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 330479992 + ... + 330480008.

Almost surely, 2^5618160000 is an apocalyptic number.

5618160000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5618160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11127586470).

5618160000 is an abundant number, since it is smaller than the sum of its proper divisors (16637012940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5618160000 is an frugal number, since it uses more digits than its factorization.

5618160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5618160000 is about 74954.3861291652. The cubic root of 5618160000 is about 1777.7254961477.

Adding to 5618160000 its reverse (618165), we get a palindrome (5618778165).

The spelling of 5618160000 in words is "five billion, six hundred eighteen million, one hundred sixty thousand".