56838631939600 has 405 divisors, whose sum is σ = 160335146630727. Its totient is φ = 19363406549760.

The previous prime is 56838631939547. The next prime is 56838631939651. The reversal of 56838631939600 is 693913683865.

The square root of 56838631939600 is 7539140.

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 6874317659664 + 49964314279936 = 2621892^2 + 7068544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 362029502722 + ... + 362029502878.

Almost surely, 2^{56838631939600} is an apocalyptic number.

56838631939600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56838631939600 is the 7539140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56838631939600

56838631939600 is an abundant number, since it is smaller than the sum of its proper divisors (103496514691127).

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

56838631939600 is an frugal number, since it uses more digits than its factorization.

56838631939600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 67.

The spelling of 56838631939600 in words is "fifty-six trillion, eight hundred thirty-eight billion, six hundred thirty-one million, nine hundred thirty-nine thousand, six hundred".