54807960321 has 27 divisors (see below), whose sum is σ = 80341545609. Its totient is φ = 36004398912.

The previous prime is 54807960307. The next prime is 54807960323. The reversal of 54807960321 is 12306970845.

The square root of 54807960321 is 234111.

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

54807960321 is a `hidden beast` number, since 548 + 0 + 79 + 6 + 0 + 32 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68807025 + 54739153296 = 8295^2 + 233964^2 .

It is not a de Polignac number, because 54807960321 - 2¹¹ = 54807958273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54807960323) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51269775 + ... + 51270843.

It is a 1-persistent number, because it is pandigital, but 2⋅54807960321 = 109615920642 is not.

Almost surely, 2^54807960321 is an apocalyptic number.

54807960321 is the 234111-st square number.

54807960321 is the 117056-th centered octagonal number.

It is an amenable number.

54807960321 is a deficient number, since it is larger than the sum of its proper divisors (25533585288).

54807960321 is an frugal number, since it uses more digits than its factorization.

54807960321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 548079 and 60321, that added together give a square (608400 = 780²).

The spelling of 54807960321 in words is "fifty-four billion, eight hundred seven million, nine hundred sixty thousand, three hundred twenty-one".