56402490013128 has 384 divisors, whose sum is σ = 189583694277120. Its totient is φ = 14782318387200.

The previous prime is 56402490013073. The next prime is 56402490013139. The reversal of 56402490013128 is 82131009420465.

56402490013128 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 2 + 490 + 0 + 131 + 28 = 666.

It is a super-2 number, since 2×56402490013128² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68158426 + ... + 68980982.

It is an arithmetic number, because the mean of its divisors is an integer number (493707537180).

Almost surely, 2^{56402490013128} 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 56402490013128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94791847138560).

56402490013128 is an abundant number, since it is smaller than the sum of its proper divisors (133181204263992).

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

56402490013128 is a wasteful number, since it uses less digits than its factorization.

56402490013128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822797 (or 822790 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 56402490013128 in words is "fifty-six trillion, four hundred two billion, four hundred ninety million, thirteen thousand, one hundred twenty-eight".