56129212925760 has 224 divisors, whose sum is σ = 191949090157440. Its totient is φ = 13814236127232.

The previous prime is 56129212925719. The next prime is 56129212925761. The reversal of 56129212925760 is 6752921292165.

It is a self number, because there is not a number n which added to its sum of digits gives 56129212925760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56129212925761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79257394 + ... + 79962446.

It is an arithmetic number, because the mean of its divisors is an integer number (856915581060).

Almost surely, 2^{56129212925760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56129212925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95974545078720).

56129212925760 is an abundant number, since it is smaller than the sum of its proper divisors (135819877231680).

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

56129212925760 is a wasteful number, since it uses less digits than its factorization.

56129212925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711465 (or 711455 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 56129212925760 in words is "fifty-six trillion, one hundred twenty-nine billion, two hundred twelve million, nine hundred twenty-five thousand, seven hundred sixty".