5972616000 has 560 divisors, whose sum is σ = 23828684880. Its totient is φ = 1468108800.

The previous prime is 5972615993. The next prime is 5972616019. The reversal of 5972616000 is 6162795.

5972616000 is a `hidden beast` number, since 597 + 2 + 6 + 1 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4264612416 + 1708003584 = 65304^2 + 41328^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8423646 + ... + 8424354.

It is an arithmetic number, because the mean of its divisors is an integer number (42551223).

Almost surely, 2^5972616000 is an apocalyptic number.

5972616000 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 5972616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11914342440).

5972616000 is an abundant number, since it is smaller than the sum of its proper divisors (17856068880).

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

5972616000 is a wasteful number, since it uses less digits than its factorization.

5972616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5972616000 is about 77282.7018161244. The cubic root of 5972616000 is about 1814.3519303633.

Adding to 5972616000 its reverse (6162795), we get a palindrome (5978778795).

The spelling of 5972616000 in words is "five billion, nine hundred seventy-two million, six hundred sixteen thousand".