56540370240 has 672 divisors, whose sum is σ = 211687257600. Its totient is φ = 13806858240.

The previous prime is 56540370223. The next prime is 56540370277. The reversal of 56540370240 is 4207304565.

56540370240 is a `hidden beast` number, since 5 + 6 + 5 + 40 + 370 + 240 = 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 = 56540370195 and 56540370204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267963735 + ... + 267963945.

It is an arithmetic number, because the mean of its divisors is an integer number (315010800).

Almost surely, 2^56540370240 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 56540370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105843628800).

56540370240 is an abundant number, since it is smaller than the sum of its proper divisors (155146887360).

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

56540370240 is a wasteful number, since it uses less digits than its factorization.

56540370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 56540370240 in words is "fifty-six billion, five hundred forty million, three hundred seventy thousand, two hundred forty".