56281989404160 has 1280 divisors, whose sum is σ = 229431565440000. Its totient is φ = 13124546297856.

The previous prime is 56281989404119. The next prime is 56281989404161. The reversal of 56281989404160 is 6140498918265.

56281989404160 is a `hidden beast` number, since 5 + 6 + 2 + 81 + 98 + 9 + 404 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56281989404161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1382863491 + ... + 1382904189.

It is an arithmetic number, because the mean of its divisors is an integer number (179243410500).

Almost surely, 2^{56281989404160} 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 56281989404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114715782720000).

56281989404160 is an abundant number, since it is smaller than the sum of its proper divisors (173149576035840).

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

56281989404160 is an equidigital number, since it uses as much as digits as its factorization.

56281989404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40775 (or 40741 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 56281989404160 in words is "fifty-six trillion, two hundred eighty-one billion, nine hundred eighty-nine million, four hundred four thousand, one hundred sixty".