56133679104 has 120 divisors (see below), whose sum is σ = 167667580080. Its totient is φ = 18711171072.

The previous prime is 56133679099. The next prime is 56133679139. The reversal of 56133679104 is 40197633165.

It is a happy number.

56133679104 is a `hidden beast` number, since 561 + 3 + 3 + 6 + 79 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56133679104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3304 + ... + 335079.

It is an arithmetic number, because the mean of its divisors is an integer number (1397229834).

Almost surely, 2^56133679104 is an apocalyptic number.

56133679104 is a gapful number since it is divisible by the number (54) 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 56133679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83833790040).

56133679104 is an abundant number, since it is smaller than the sum of its proper divisors (111533900976).

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

56133679104 is an equidigital number, since it uses as much as digits as its factorization.

56133679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338417 (or 338388 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 56133679104 in words is "fifty-six billion, one hundred thirty-three million, six hundred seventy-nine thousand, one hundred four".