56340970560 has 336 divisors, whose sum is σ = 233131766400. Its totient is φ = 12200067072.

The previous prime is 56340970549. The next prime is 56340970571. The reversal of 56340970560 is 6507904365.

56340970560 is a `hidden beast` number, since 5 + 634 + 0 + 9 + 7 + 0 + 5 + 6 + 0 = 666.

56340970560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56340970549) and next prime (56340970571).

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 309496 + ... + 456584.

Almost surely, 2^56340970560 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 56340970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116565883200).

56340970560 is an abundant number, since it is smaller than the sum of its proper divisors (176790795840).

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

56340970560 is a wasteful number, since it uses less digits than its factorization.

56340970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147138 (or 147125 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 56340970560 in words is "fifty-six billion, three hundred forty million, nine hundred seventy thousand, five hundred sixty".