56402982720 has 1008 divisors, whose sum is σ = 237908518848. Its totient is φ = 12680478720.

The previous prime is 56402982679. The next prime is 56402982733. The reversal of 56402982720 is 2728920465.

56402982720 is a `hidden beast` number, since 56 + 40 + 298 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 430557055 + ... + 430557185.

It is an arithmetic number, because the mean of its divisors is an integer number (236020356).

Almost surely, 2^56402982720 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 56402982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118954259424).

56402982720 is an abundant number, since it is smaller than the sum of its proper divisors (181505536128).

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

56402982720 is a wasteful number, since it uses less digits than its factorization.

56402982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 56402982720 in words is "fifty-six billion, four hundred two million, nine hundred eighty-two thousand, seven hundred twenty".