54164156474400 has 576 divisors, whose sum is σ = 219409106918400. Its totient is φ = 11324337131520.

The previous prime is 54164156474399. The next prime is 54164156474411. The reversal of 54164156474400 is 447465146145.

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 95 ways as a sum of consecutive naturals, for example, 6331159 + ... + 12182441.

It is an arithmetic number, because the mean of its divisors is an integer number (380918588400).

Almost surely, 2^{54164156474400} is an apocalyptic number.

54164156474400 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 54164156474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109704553459200).

54164156474400 is an abundant number, since it is smaller than the sum of its proper divisors (165244950444000).

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

54164156474400 is a wasteful number, since it uses less digits than its factorization.

54164156474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851361 (or 5851348 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 54164156474400 in words is "fifty-four trillion, one hundred sixty-four billion, one hundred fifty-six million, four hundred seventy-four thousand, four hundred".