56769053306112 has 2160 divisors, whose sum is σ = 213153716160000. Its totient is φ = 14937116221440.

The previous prime is 56769053306101. The next prime is 56769053306137. The reversal of 56769053306112 is 21160335096765.

56769053306112 is a `hidden beast` number, since 5 + 6 + 7 + 6 + 90 + 533 + 0 + 6 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 113765637639 + ... + 113765638137.

It is an arithmetic number, because the mean of its divisors is an integer number (98682276000).

Almost surely, 2^{56769053306112} 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 56769053306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106576858080000).

56769053306112 is an abundant number, since it is smaller than the sum of its proper divisors (156384662853888).

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

56769053306112 is a wasteful number, since it uses less digits than its factorization.

56769053306112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 56769053306112 in words is "fifty-six trillion, seven hundred sixty-nine billion, fifty-three million, three hundred six thousand, one hundred twelve".