56829700642176 has 2880 divisors, whose sum is σ = 229601326718400. Its totient is φ = 13941820569600.

The previous prime is 56829700642171. The next prime is 56829700642193. The reversal of 56829700642176 is 67124600792865.

56829700642176 is a `hidden beast` number, since 56 + 8 + 2 + 97 + 0 + 0 + 6 + 421 + 76 = 666.

56829700642176 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 2×56829700642176² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56829700642171) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 171690938331 + ... + 171690938661.

Almost surely, 2^{56829700642176} is an apocalyptic number.

56829700642176 is a gapful number since it is divisible by the number (56) 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 56829700642176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114800663359200).

56829700642176 is an abundant number, since it is smaller than the sum of its proper divisors (172771626076224).

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

56829700642176 is an equidigital number, since it uses as much as digits as its factorization.

56829700642176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 56829700642176 in words is "fifty-six trillion, eight hundred twenty-nine billion, seven hundred million, six hundred forty-two thousand, one hundred seventy-six".