56417772096 has 252 divisors, whose sum is σ = 189561612240. Its totient is φ = 15995266560.

The previous prime is 56417772077. The next prime is 56417772179. The reversal of 56417772096 is 69027771465.

56417772096 is a `hidden beast` number, since 56 + 417 + 77 + 20 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3689715 + ... + 3704973.

It is an arithmetic number, because the mean of its divisors is an integer number (752228620).

Almost surely, 2^56417772096 is an apocalyptic number.

56417772096 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 56417772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94780806120).

56417772096 is an abundant number, since it is smaller than the sum of its proper divisors (133143840144).

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

56417772096 is a wasteful number, since it uses less digits than its factorization.

56417772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15422 (or 15402 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 56417772096 in words is "fifty-six billion, four hundred seventeen million, seven hundred seventy-two thousand, ninety-six".