5925628800 has 1728 divisors, whose sum is σ = 29522329200. Its totient is φ = 1114767360.

The previous prime is 5925628757. The next prime is 5925628879. The reversal of 5925628800 is 88265295.

5925628800 is a `hidden beast` number, since 5 + 9 + 2 + 562 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×5925628800² = 70226153350778880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 311875191 + ... + 311875209.

Almost surely, 2^5925628800 is an apocalyptic number.

5925628800 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 5925628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761164600).

5925628800 is an abundant number, since it is smaller than the sum of its proper divisors (23596700400).

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

5925628800 is a wasteful number, since it uses less digits than its factorization.

5925628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5925628800 is about 76978.1059782585. The cubic root of 5925628800 is about 1809.5814992468.

The spelling of 5925628800 in words is "five billion, nine hundred twenty-five million, six hundred twenty-eight thousand, eight hundred".