56341042560 has 512 divisors, whose sum is σ = 223592486400. Its totient is φ = 13287628800.

The previous prime is 56341042543. The next prime is 56341042621. The reversal of 56341042560 is 6524014365.

56341042560 is a `hidden beast` number, since 5 + 634 + 10 + 4 + 2 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7028955 + ... + 7036965.

It is an arithmetic number, because the mean of its divisors is an integer number (436704075).

Almost surely, 2^56341042560 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 56341042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111796243200).

56341042560 is an abundant number, since it is smaller than the sum of its proper divisors (167251443840).

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

56341042560 is a wasteful number, since it uses less digits than its factorization.

56341042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8087 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 56341042560 in words is "fifty-six billion, three hundred forty-one million, forty-two thousand, five hundred sixty".