56642181120 has 1152 divisors, whose sum is σ = 242676907200. Its totient is φ = 12485394432.

The previous prime is 56642181109. The next prime is 56642181131. The reversal of 56642181120 is 2118124665.

It is a happy number.

56642181120 is a `hidden beast` number, since 5 + 6 + 642 + 1 + 8 + 1 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56642181109) and next prime (56642181131).

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 501258184 + ... + 501258296.

Almost surely, 2^56642181120 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 56642181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121338453600).

56642181120 is an abundant number, since it is smaller than the sum of its proper divisors (186034726080).

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

56642181120 is a wasteful number, since it uses less digits than its factorization.

56642181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 56642181120 in words is "fifty-six billion, six hundred forty-two million, one hundred eighty-one thousand, one hundred twenty".