56261155140 has 288 divisors, whose sum is σ = 181019494656. Its totient is φ = 14115763200.

The previous prime is 56261155133. The next prime is 56261155141. The reversal of 56261155140 is 4155116265.

56261155140 is a `hidden beast` number, since 5 + 6 + 2 + 61 + 1 + 551 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56261155095 and 56261155104.

It is not an unprimeable number, because it can be changed into a prime (56261155141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82373239 + ... + 82373921.

It is an arithmetic number, because the mean of its divisors is an integer number (628539912).

Almost surely, 2^56261155140 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 56261155140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90509747328).

56261155140 is an abundant number, since it is smaller than the sum of its proper divisors (124758339516).

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

56261155140 is a wasteful number, since it uses less digits than its factorization.

56261155140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 56261155140 in words is "fifty-six billion, two hundred sixty-one million, one hundred fifty-five thousand, one hundred forty".