56313835877376 has 440 divisors, whose sum is σ = 209659190849856. Its totient is φ = 14626968698880.

The previous prime is 56313835877339. The next prime is 56313835877441. The reversal of 56313835877376 is 67377853831365.

56313835877376 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 3 + 8 + 3 + 587 + 7 + 37 + 6 = 666.

It is a super-2 number, since 2×56313835877376² (a number of 28 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1978000 + ... + 10795376.

Almost surely, 2^{56313835877376} is an apocalyptic number.

56313835877376 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 56313835877376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104829595424928).

56313835877376 is an abundant number, since it is smaller than the sum of its proper divisors (153345354972480).

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

56313835877376 is a wasteful number, since it uses less digits than its factorization.

56313835877376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8817427 (or 8817400 counting only the distinct ones).

The product of its digits is 1600300800, while the sum is 72.

The spelling of 56313835877376 in words is "fifty-six trillion, three hundred thirteen billion, eight hundred thirty-five million, eight hundred seventy-seven thousand, three hundred seventy-six".