54686757904 has 135 divisors (see below), whose sum is σ = 119450560311. Its totient is φ = 24245775360.

The previous prime is 54686757857. The next prime is 54686757919. The reversal of 54686757904 is 40975768645.

It is a happy number.

The square root of 54686757904 is 233852.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7705328400 + 46981429504 = 87780^2 + 216752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 302136694 + ... + 302136874.

Almost surely, 2^54686757904 is an apocalyptic number.

54686757904 is the 233852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54686757904

54686757904 is an abundant number, since it is smaller than the sum of its proper divisors (64763802407).

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

54686757904 is a wasteful number, since it uses less digits than its factorization.

54686757904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 61.

The spelling of 54686757904 in words is "fifty-four billion, six hundred eighty-six million, seven hundred fifty-seven thousand, nine hundred four".