56591308800000 has 2880 divisors, whose sum is σ = 233941406791680. Its totient is φ = 13430292480000.

The previous prime is 56591308799989. The next prime is 56591308800023. The reversal of 56591308800000 is 880319565.

56591308800000 is a `hidden beast` number, since 56 + 591 + 3 + 0 + 8 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 844646399967 + ... + 844646400033.

It is an arithmetic number, because the mean of its divisors is an integer number (81229655136).

Almost surely, 2^{56591308800000} is an apocalyptic number.

56591308800000 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 56591308800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116970703395840).

56591308800000 is an abundant number, since it is smaller than the sum of its proper divisors (177350097991680).

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

56591308800000 is an frugal number, since it uses more digits than its factorization.

56591308800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 56591308800000 in words is "fifty-six trillion, five hundred ninety-one billion, three hundred eight million, eight hundred thousand".