56345375652696 has 384 divisors, whose sum is σ = 180800428536000. Its totient is φ = 15694698184704.

The previous prime is 56345375652641. The next prime is 56345375652719. The reversal of 56345375652696 is 69625657354365.

56345375652696 is a `hidden beast` number, since 5 + 6 + 3 + 4 + 5 + 3 + 7 + 5 + 6 + 526 + 96 = 666.

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 95 ways as a sum of consecutive naturals, for example, 49463236 + ... + 50589548.

Almost surely, 2^{56345375652696} 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 56345375652696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90400214268000).

56345375652696 is an abundant number, since it is smaller than the sum of its proper divisors (124455052883304).

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

56345375652696 is a wasteful number, since it uses less digits than its factorization.

56345375652696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126483 (or 1126476 counting only the distinct ones).

The product of its digits is 3674160000, while the sum is 72.

The spelling of 56345375652696 in words is "fifty-six trillion, three hundred forty-five billion, three hundred seventy-five million, six hundred fifty-two thousand, six hundred ninety-six".