56508592464 has 140 divisors (see below), whose sum is σ = 164397063232. Its totient is φ = 18808200000.

The previous prime is 56508592457. The next prime is 56508592471. The reversal of 56508592464 is 46429580565.

56508592464 is a `hidden beast` number, since 5 + 6 + 5 + 0 + 8 + 592 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (56508592457) and next prime (56508592471).

It is a super-3 number, since 3×56508592464³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 56508592464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8756439 + ... + 8762889.

Almost surely, 2^56508592464 is an apocalyptic number.

56508592464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56508592464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82198531616).

56508592464 is an abundant number, since it is smaller than the sum of its proper divisors (107888470768).

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

56508592464 is an equidigital number, since it uses as much as digits as its factorization.

56508592464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 56508592464 in words is "fifty-six billion, five hundred eight million, five hundred ninety-two thousand, four hundred sixty-four".