56318018976288 has 288 divisors, whose sum is σ = 170737343562240. Its totient is φ = 17547367219200.

The previous prime is 56318018976281. The next prime is 56318018976311. The reversal of 56318018976288 is 88267981081365.

56318018976288 is a `hidden beast` number, since 56 + 318 + 0 + 189 + 7 + 6 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×56318018976288² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (56318018976281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6445917456 + ... + 6445926192.

It is an arithmetic number, because the mean of its divisors is an integer number (592837998480).

Almost surely, 2^{56318018976288} 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 56318018976288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85368671781120).

56318018976288 is an abundant number, since it is smaller than the sum of its proper divisors (114419324585952).

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

56318018976288 is a wasteful number, since it uses less digits than its factorization.

56318018976288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17640 (or 17629 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 56318018976288 in words is "fifty-six trillion, three hundred eighteen billion, eighteen million, nine hundred seventy-six thousand, two hundred eighty-eight".