56617422869952 has 448 divisors, whose sum is σ = 192162325555200. Its totient is φ = 16011602657280.

The previous prime is 56617422869947. The next prime is 56617422869971. The reversal of 56617422869952 is 25996822471665.

56617422869952 is a `hidden beast` number, since 5 + 6 + 61 + 7 + 422 + 8 + 6 + 99 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2876745552 + ... + 2876765232.

It is an arithmetic number, because the mean of its divisors is an integer number (428933762400).

Almost surely, 2^{56617422869952} 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 56617422869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96081162777600).

56617422869952 is an abundant number, since it is smaller than the sum of its proper divisors (135544902685248).

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

56617422869952 is a wasteful number, since it uses less digits than its factorization.

56617422869952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22121 (or 22105 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 56617422869952 in words is "fifty-six trillion, six hundred seventeen billion, four hundred twenty-two million, eight hundred sixty-nine thousand, nine hundred fifty-two".