56695466073600 has 960 divisors, whose sum is σ = 211480296984000. Its totient is φ = 15060586659840.

The previous prime is 56695466073539. The next prime is 56695466073601. The reversal of 56695466073600 is 637066459665.

56695466073600 is a `hidden beast` number, since 56 + 6 + 9 + 546 + 6 + 0 + 7 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56695466073601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7530274636 + ... + 7530282164.

It is an arithmetic number, because the mean of its divisors is an integer number (220291976025).

Almost surely, 2^{56695466073600} is an apocalyptic number.

56695466073600 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 56695466073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105740148492000).

56695466073600 is an abundant number, since it is smaller than the sum of its proper divisors (154784830910400).

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

56695466073600 is an frugal number, since it uses more digits than its factorization.

56695466073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 56695466073600 in words is "fifty-six trillion, six hundred ninety-five billion, four hundred sixty-six million, seventy-three thousand, six hundred".