54172876800 has 768 divisors, whose sum is σ = 212194990080. Its totient is φ = 11938037760.

The previous prime is 54172876783. The next prime is 54172876811. The reversal of 54172876800 is 867827145.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54172876800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808550367 + ... + 808550433.

It is an arithmetic number, because the mean of its divisors is an integer number (276295560).

Almost surely, 2^54172876800 is an apocalyptic number.

54172876800 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 54172876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106097495040).

54172876800 is an abundant number, since it is smaller than the sum of its proper divisors (158022113280).

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

54172876800 is an equidigital number, since it uses as much as digits as its factorization.

54172876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 54172876800 in words is "fifty-four billion, one hundred seventy-two million, eight hundred seventy-six thousand, eight hundred".