56508243840 has 640 divisors, whose sum is σ = 208497849120. Its totient is φ = 14578237440.

The previous prime is 56508243829. The next prime is 56508243917. The reversal of 56508243840 is 4834280565.

56508243840 is a `hidden beast` number, since 56 + 50 + 82 + 438 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 359925042 + ... + 359925198.

Almost surely, 2^56508243840 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 56508243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104248924560).

56508243840 is an abundant number, since it is smaller than the sum of its proper divisors (151989605280).

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

56508243840 is a wasteful number, since it uses less digits than its factorization.

56508243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 56508243840 in words is "fifty-six billion, five hundred eight million, two hundred forty-three thousand, eight hundred forty".