56061296640 has 1024 divisors, whose sum is σ = 226488960000. Its totient is φ = 13079937024.

The previous prime is 56061296609. The next prime is 56061296651. The reversal of 56061296640 is 4669216065.

56061296640 is a `hidden beast` number, since 560 + 6 + 1 + 29 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 63 ways as a sum of consecutive naturals, for example, 1933148146 + ... + 1933148174.

It is an arithmetic number, because the mean of its divisors is an integer number (221180625).

Almost surely, 2^56061296640 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 56061296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113244480000).

56061296640 is an abundant number, since it is smaller than the sum of its proper divisors (170427663360).

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

56061296640 is a wasteful number, since it uses less digits than its factorization.

56061296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56061296640 in words is "fifty-six billion, sixty-one million, two hundred ninety-six thousand, six hundred forty".