56525523324600 has 1536 divisors, whose sum is σ = 219171972096000. Its totient is φ = 11870134272000.

The previous prime is 56525523324587. The next prime is 56525523324601. The reversal of 56525523324600 is 642332552565.

It is a self number, because there is not a number n which added to its sum of digits gives 56525523324600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56525523324601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22987198171 + ... + 22987200629.

It is an arithmetic number, because the mean of its divisors is an integer number (142690086000).

Almost surely, 2^{56525523324600} is an apocalyptic number.

56525523324600 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 56525523324600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109585986048000).

56525523324600 is an abundant number, since it is smaller than the sum of its proper divisors (162646448771400).

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

56525523324600 is a wasteful number, since it uses less digits than its factorization.

56525523324600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 56525523324600 in words is "fifty-six trillion, five hundred twenty-five billion, five hundred twenty-three million, three hundred twenty-four thousand, six hundred".