56640850451136 has 336 divisors, whose sum is σ = 192433746785280. Its totient is φ = 16181584773120.

The previous prime is 56640850451111. The next prime is 56640850451197. The reversal of 56640850451136 is 63115405804665.

56640850451136 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 0 + 8 + 50 + 451 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1721014521 + ... + 1721047431.

It is an arithmetic number, because the mean of its divisors is an integer number (572719484480).

Almost surely, 2^{56640850451136} is an apocalyptic number.

56640850451136 is a gapful number since it is divisible by the number (56) 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 56640850451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96216873392640).

56640850451136 is an abundant number, since it is smaller than the sum of its proper divisors (135792896334144).

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

56640850451136 is a wasteful number, since it uses less digits than its factorization.

56640850451136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48754 (or 48732 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 56640850451136 in words is "fifty-six trillion, six hundred forty billion, eight hundred fifty million, four hundred fifty-one thousand, one hundred thirty-six".