56956151808000 has 840 divisors, whose sum is σ = 213145409513400. Its totient is φ = 15187909017600.

The previous prime is 56956151807993. The next prime is 56956151808001. The reversal of 56956151808000 is 80815165965.

56956151808000 is a `hidden beast` number, since 5 + 6 + 9 + 5 + 615 + 18 + 0 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37456183296 + 56918695624704 = 193536^2 + 7544448^2 .

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

It is not an unprimeable number, because it can be changed into a prime (56956151808001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1492972926 + ... + 1493011074.

It is an arithmetic number, because the mean of its divisors is an integer number (253744535135).

Almost surely, 2^{56956151808000} is an apocalyptic number.

56956151808000 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 56956151808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106572704756700).

56956151808000 is an abundant number, since it is smaller than the sum of its proper divisors (156189257705400).

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

56956151808000 is an frugal number, since it uses more digits than its factorization.

56956151808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38210 (or 38159 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 56956151808000 in words is "fifty-six trillion, nine hundred fifty-six billion, one hundred fifty-one million, eight hundred eight thousand".