56876096526336 has 384 divisors, whose sum is σ = 181673724960000. Its totient is φ = 17522789253120.

The previous prime is 56876096526269. The next prime is 56876096526341. The reversal of 56876096526336 is 63362569067865.

It is a happy number.

56876096526336 is a `hidden beast` number, since 5 + 6 + 8 + 7 + 6 + 0 + 96 + 526 + 3 + 3 + 6 = 666.

56876096526336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42415395 + ... + 43735773.

It is an arithmetic number, because the mean of its divisors is an integer number (473108658750).

Almost surely, 2^{56876096526336} 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 56876096526336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90836862480000).

56876096526336 is an abundant number, since it is smaller than the sum of its proper divisors (124797628433664).

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

56876096526336 is a wasteful number, since it uses less digits than its factorization.

56876096526336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320470 (or 1320444 counting only the distinct ones).

The product of its (nonzero) digits is 1763596800, while the sum is 72.

The spelling of 56876096526336 in words is "fifty-six trillion, eight hundred seventy-six billion, ninety-six million, five hundred twenty-six thousand, three hundred thirty-six".