56140779240 has 960 divisors, whose sum is σ = 237486332160. Its totient is φ = 11645337600.

The previous prime is 56140779239. The next prime is 56140779301. The reversal of 56140779240 is 4297704165.

56140779240 is a `hidden beast` number, since 5 + 614 + 0 + 7 + 7 + 9 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 371793165 + ... + 371793315.

It is an arithmetic number, because the mean of its divisors is an integer number (247381596).

Almost surely, 2^56140779240 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 56140779240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118743166080).

56140779240 is an abundant number, since it is smaller than the sum of its proper divisors (181345552920).

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

56140779240 is a wasteful number, since it uses less digits than its factorization.

56140779240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 56140779240 in words is "fifty-six billion, one hundred forty million, seven hundred seventy-nine thousand, two hundred forty".