54017974400 has 192 divisors, whose sum is σ = 144348651720. Its totient is φ = 19855933440.

The previous prime is 54017974349. The next prime is 54017974403. The reversal of 54017974400 is 447971045.

It can be written as a sum of positive squares in 12 ways, for example, as 7875497536 + 46142476864 = 88744^2 + 214808^2 .

It is not an unprimeable number, because it can be changed into a prime (54017974403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9690014 + ... + 9695586.

Almost surely, 2^54017974400 is an apocalyptic number.

54017974400 is a gapful number since it is divisible by the number (50) 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 54017974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72174325860).

54017974400 is an abundant number, since it is smaller than the sum of its proper divisors (90330677320).

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

54017974400 is a wasteful number, since it uses less digits than its factorization.

54017974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 54017974400 in words is "fifty-four billion, seventeen million, nine hundred seventy-four thousand, four hundred".