56835992166912 has 720 divisors, whose sum is σ = 192970343029464. Its totient is φ = 16055746560000.

The previous prime is 56835992166887. The next prime is 56835992166923. The reversal of 56835992166912 is 21966129953865.

56835992166912 is a `hidden beast` number, since 5 + 6 + 8 + 3 + 599 + 2 + 16 + 6 + 9 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52093980723456 + 4742011443456 = 7217616^2 + 2177616^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23283895612 + ... + 23283898052.

Almost surely, 2^{56835992166912} 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 56835992166912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96485171514732).

56835992166912 is an abundant number, since it is smaller than the sum of its proper divisors (136134350862552).

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

56835992166912 is a wasteful number, since it uses less digits than its factorization.

56835992166912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3575 counting only the distinct ones).

The product of its digits is 377913600, while the sum is 72.

The spelling of 56835992166912 in words is "fifty-six trillion, eight hundred thirty-five billion, nine hundred ninety-two million, one hundred sixty-six thousand, nine hundred twelve".