54613838772 has 36 divisors (see below), whose sum is σ = 138058893700. Its totient is φ = 18203657472.

The previous prime is 54613838771. The next prime is 54613838779. The reversal of 54613838772 is 27783831645.

It is a happy number.

54613838772 is a `hidden beast` number, since 5 + 461 + 38 + 3 + 87 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12607696656 + 42006142116 = 112284^2 + 204954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54613838771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1112604 + ... + 1160652.

Almost surely, 2^54613838772 is an apocalyptic number.

It is an amenable number.

54613838772 is an abundant number, since it is smaller than the sum of its proper divisors (83445054928).

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

54613838772 is a wasteful number, since it uses less digits than its factorization.

54613838772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79632 (or 79627 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 54613838772 in words is "fifty-four billion, six hundred thirteen million, eight hundred thirty-eight thousand, seven hundred seventy-two".