5225516640 has 144 divisors (see below), whose sum is σ = 17968846896. Its totient is φ = 1382784000.

The previous prime is 5225516617. The next prime is 5225516651. The reversal of 5225516640 is 466155225.

5225516640 is a `hidden beast` number, since 5 + 2 + 2 + 5 + 5 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5225516595 and 5225516604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174790 + ... + 202490.

It is an arithmetic number, because the mean of its divisors is an integer number (124783659).

Almost surely, 2^5225516640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5225516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8984423448).

5225516640 is an abundant number, since it is smaller than the sum of its proper divisors (12743330256).

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

5225516640 is a wasteful number, since it uses less digits than its factorization.

5225516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27853 (or 27842 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5225516640 is about 72287.7350592754. The cubic root of 5225516640 is about 1735.3073716213.

The spelling of 5225516640 in words is "five billion, two hundred twenty-five million, five hundred sixteen thousand, six hundred forty".