54540457538 has 54 divisors (see below), whose sum is σ = 98465873049. Its totient is φ = 22590741600.

The previous prime is 54540457523. The next prime is 54540457541. The reversal of 54540457538 is 83575404545.

54540457538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30061664689 + 24478792849 = 173383^2 + 156457^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=165137.

It is a super-4 number, since 4×54540457538⁴ (a number of 44 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71669078 + ... + 71669838.

Almost surely, 2^54540457538 is an apocalyptic number.

54540457538 is a deficient number, since it is larger than the sum of its proper divisors (43925415511).

54540457538 is an frugal number, since it uses more digits than its factorization.

54540457538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 50.

Multiplying 54540457538 by its sum of digits (50), we get a square (2727022876900 = 1651370²).

The spelling of 54540457538 in words is "fifty-four billion, five hundred forty million, four hundred fifty-seven thousand, five hundred thirty-eight".