56059411968 has 360 divisors, whose sum is σ = 194301581760. Its totient is φ = 15498362880.

The previous prime is 56059411963. The next prime is 56059412027. The reversal of 56059411968 is 86911495065.

56059411968 is a `hidden beast` number, since 560 + 5 + 9 + 4 + 1 + 19 + 68 = 666.

It is a super-3 number, since 3×56059411968³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56059411963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6995548 + ... + 7003556.

It is an arithmetic number, because the mean of its divisors is an integer number (539726616).

Almost surely, 2^56059411968 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 56059411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97150790880).

56059411968 is an abundant number, since it is smaller than the sum of its proper divisors (138242169792).

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

56059411968 is a wasteful number, since it uses less digits than its factorization.

56059411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8078 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 56059411968 in words is "fifty-six billion, fifty-nine million, four hundred eleven thousand, nine hundred sixty-eight".