56675082240 has 448 divisors, whose sum is σ = 230316145920. Its totient is φ = 12952535040.

The previous prime is 56675082227. The next prime is 56675082259. The reversal of 56675082240 is 4228057665.

56675082240 is a `hidden beast` number, since 566 + 7 + 5 + 0 + 82 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 31 ways as a sum of consecutive naturals, for example, 7737780 + ... + 7745100.

It is an arithmetic number, because the mean of its divisors is an integer number (514098540).

Almost surely, 2^56675082240 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 56675082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115158072960).

56675082240 is an abundant number, since it is smaller than the sum of its proper divisors (173641063680).

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

56675082240 is an equidigital number, since it uses as much as digits as its factorization.

56675082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7368 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 56675082240 in words is "fifty-six billion, six hundred seventy-five million, eighty-two thousand, two hundred forty".