56903752729600 has 528 divisors, whose sum is σ = 162517889046528. Its totient is φ = 19351360143360.

The previous prime is 56903752729597. The next prime is 56903752729643. The reversal of 56903752729600 is 692725730965.

56903752729600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56903752729600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11511984729 + ... + 11511989671.

Almost surely, 2^{56903752729600} is an apocalyptic number.

56903752729600 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 56903752729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81258944523264).

56903752729600 is an abundant number, since it is smaller than the sum of its proper divisors (105614136316928).

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

56903752729600 is a wasteful number, since it uses less digits than its factorization.

56903752729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 61.

The spelling of 56903752729600 in words is "fifty-six trillion, nine hundred three billion, seven hundred fifty-two million, seven hundred twenty-nine thousand, six hundred".