54331878564 has 144 divisors (see below), whose sum is σ = 149460380160. Its totient is φ = 16578432000.

The previous prime is 54331878563. The next prime is 54331878581. The reversal of 54331878564 is 46587813345.

54331878564 is a `hidden beast` number, since 5 + 4 + 3 + 3 + 1 + 8 + 78 + 564 = 666.

54331878564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54331878564.

It is not an unprimeable number, because it can be changed into a prime (54331878563) 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, 17406924 + ... + 17410044.

Almost surely, 2^54331878564 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 54331878564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74730190080).

54331878564 is an abundant number, since it is smaller than the sum of its proper divisors (95128501596).

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

54331878564 is a wasteful number, since it uses less digits than its factorization.

54331878564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3997 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 54331878564 in words is "fifty-four billion, three hundred thirty-one million, eight hundred seventy-eight thousand, five hundred sixty-four".