56729442940128 has 1728 divisors, whose sum is σ = 208885525954560. Its totient is φ = 15066650446848.

The previous prime is 56729442940111. The next prime is 56729442940133. The reversal of 56729442940128 is 82104924492765.

It is a happy number.

56729442940128 is a `hidden beast` number, since 5 + 6 + 7 + 29 + 442 + 9 + 40 + 128 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46385480125 + ... + 46385481347.

It is an arithmetic number, because the mean of its divisors is an integer number (120882827520).

Almost surely, 2^{56729442940128} 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 56729442940128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104442762977280).

56729442940128 is an abundant number, since it is smaller than the sum of its proper divisors (152156083014432).

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

56729442940128 is a wasteful number, since it uses less digits than its factorization.

56729442940128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 56729442940128 in words is "fifty-six trillion, seven hundred twenty-nine billion, four hundred forty-two million, nine hundred forty thousand, one hundred twenty-eight".