56133346666600 has 288 divisors, whose sum is σ = 152600633380800. Its totient is φ = 19146678297600.

The previous prime is 56133346666589. The next prime is 56133346666627. The reversal of 56133346666600 is 666664333165.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1961387091 + ... + 1961415709.

It is an arithmetic number, because the mean of its divisors is an integer number (529863310350).

Almost surely, 2^{56133346666600} is an apocalyptic number.

56133346666600 is a gapful number since it is divisible by the number (50) 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 56133346666600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76300316690400).

56133346666600 is an abundant number, since it is smaller than the sum of its proper divisors (96467286714200).

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

56133346666600 is a wasteful number, since it uses less digits than its factorization.

56133346666600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29673 (or 29657 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 55.

The spelling of 56133346666600 in words is "fifty-six trillion, one hundred thirty-three billion, three hundred forty-six million, six hundred sixty-six thousand, six hundred".