54073126432 has 96 divisors (see below), whose sum is σ = 115853839920. Its totient is φ = 24842188800.

The previous prime is 54073126409. The next prime is 54073126453. The reversal of 54073126432 is 23462137045.

It can be written as a sum of positive squares in 8 ways, for example, as 12833264656 + 41239861776 = 113284^2 + 203076^2 .

It is a Smith number, since the sum of its digits (37) 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 = 54073126391 and 54073126400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16379182 + ... + 16382482.

Almost surely, 2^54073126432 is an apocalyptic number.

54073126432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54073126432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57926919960).

54073126432 is an abundant number, since it is smaller than the sum of its proper divisors (61780713488).

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

54073126432 is a wasteful number, since it uses less digits than its factorization.

54073126432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 54073126432 in words is "fifty-four billion, seventy-three million, one hundred twenty-six thousand, four hundred thirty-two".