56313812160000 has 600 divisors, whose sum is σ = 204890290244640. Its totient is φ = 14884036608000.

The previous prime is 56313812159963. The next prime is 56313812160031. The reversal of 56313812160000 is 6121831365.

56313812160000 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 38 + 12 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 325353481 + ... + 325526519.

Almost surely, 2^{56313812160000} is an apocalyptic number.

56313812160000 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 56313812160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102445145122320).

56313812160000 is an abundant number, since it is smaller than the sum of its proper divisors (148576478084640).

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

56313812160000 is a wasteful number, since it uses less digits than its factorization.

56313812160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173196 (or 173162 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 56313812160000 its reverse (6121831365), we get a palindrome (56319933991365).

The spelling of 56313812160000 in words is "fifty-six trillion, three hundred thirteen billion, eight hundred twelve million, one hundred sixty thousand".