54151884800 has 312 divisors, whose sum is σ = 152291658960. Its totient is φ = 18933350400.

The previous prime is 54151884797. The next prime is 54151884821. The reversal of 54151884800 is 848815145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25291730 + ... + 25293870.

Almost surely, 2^54151884800 is an apocalyptic number.

54151884800 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 54151884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76145829480).

54151884800 is an abundant number, since it is smaller than the sum of its proper divisors (98139774160).

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

54151884800 is a wasteful number, since it uses less digits than its factorization.

54151884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 44.

The spelling of 54151884800 in words is "fifty-four billion, one hundred fifty-one million, eight hundred eighty-four thousand, eight hundred".