5619001600 has 81 divisors (see below), whose sum is σ = 13922765787. Its totient is φ = 2245201920.

The previous prime is 5619001567. The next prime is 5619001603. The reversal of 5619001600 is 61009165.

The square root of 5619001600 is 74960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2308610304 + 3310391296 = 48048^2 + 57536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5619001603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5996332 + ... + 5997268.

Almost surely, 2^5619001600 is an apocalyptic number.

5619001600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5619001600 is the 74960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5619001600

5619001600 is an abundant number, since it is smaller than the sum of its proper divisors (8303764187).

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

5619001600 is an frugal number, since it uses more digits than its factorization.

5619001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The cubic root of 5619001600 is about 1777.8142594365.

The spelling of 5619001600 in words is "five billion, six hundred nineteen million, one thousand, six hundred".