54564016752 has 60 divisors (see below), whose sum is σ = 174518247280. Its totient is φ = 15589718784.

The previous prime is 54564016739. The next prime is 54564016753. The reversal of 54564016752 is 25761046545.

54564016752 is a `hidden beast` number, since 5 + 4 + 564 + 0 + 16 + 75 + 2 = 666.

It is a super-2 number, since 2×54564016752² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54564016698 and 54564016707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54564016753) 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, 27064477 + ... + 27066492.

Almost surely, 2^54564016752 is an apocalyptic number.

It is an amenable number.

54564016752 is an abundant number, since it is smaller than the sum of its proper divisors (119954230528).

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

54564016752 is a wasteful number, since it uses less digits than its factorization.

54564016752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54130990 (or 54130981 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 54564016752 in words is "fifty-four billion, five hundred sixty-four million, sixteen thousand, seven hundred fifty-two".