56320641861120 has 5120 divisors, whose sum is σ = 272852936294400. Its totient is φ = 10680745328640.

The previous prime is 56320641861103. The next prime is 56320641861271. The reversal of 56320641861120 is 2116814602365.

56320641861120 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 0 + 6 + 4 + 1 + 8 + 611 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 207825246585 + ... + 207825246855.

It is an arithmetic number, because the mean of its divisors is an integer number (53291589120).

Almost surely, 2^{56320641861120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56320641861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136426468147200).

56320641861120 is an abundant number, since it is smaller than the sum of its proper divisors (216532294433280).

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

56320641861120 is a wasteful number, since it uses less digits than its factorization.

56320641861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 56320641861120 in words is "fifty-six trillion, three hundred twenty billion, six hundred forty-one million, eight hundred sixty-one thousand, one hundred twenty".