54686372560 has 40 divisors (see below), whose sum is σ = 128312312040. Its totient is φ = 21673861632.

The previous prime is 54686372551. The next prime is 54686372561. The reversal of 54686372560 is 6527368645.

It can be written as a sum of positive squares in 4 ways, for example, as 255616144 + 54430756416 = 15988^2 + 233304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×54686372560² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 54686372498 and 54686372507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54686372561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3126967 + ... + 3144406.

It is an arithmetic number, because the mean of its divisors is an integer number (3207807801).

Almost surely, 2^54686372560 is an apocalyptic number.

It is an amenable number.

54686372560 is an abundant number, since it is smaller than the sum of its proper divisors (73625939480).

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

54686372560 is a wasteful number, since it uses less digits than its factorization.

54686372560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271495 (or 6271489 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 54686372560 in words is "fifty-four billion, six hundred eighty-six million, three hundred seventy-two thousand, five hundred sixty".