56225810574 has 192 divisors, whose sum is σ = 136357468416. Its totient is φ = 16665772032.

The previous prime is 56225810569. The next prime is 56225810587. The reversal of 56225810574 is 47501852265.

56225810574 is a `hidden beast` number, since 5 + 6 + 22 + 58 + 1 + 0 + 574 = 666.

It is a super-2 number, since 2×56225810574² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83544702 + ... + 83545374.

It is an arithmetic number, because the mean of its divisors is an integer number (710195148).

Almost surely, 2^56225810574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56225810574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68178734208).

56225810574 is an abundant number, since it is smaller than the sum of its proper divisors (80131657842).

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

56225810574 is a wasteful number, since it uses less digits than its factorization.

56225810574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 56225810574 in words is "fifty-six billion, two hundred twenty-five million, eight hundred ten thousand, five hundred seventy-four".