54312085800 has 288 divisors, whose sum is σ = 209062601280. Its totient is φ = 12378009600.

The previous prime is 54312085787. The next prime is 54312085829. The reversal of 54312085800 is 858021345.

It is a happy number.

54312085800 is a `hidden beast` number, since 54 + 3 + 1 + 20 + 8 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 4441695 + ... + 4453905.

It is an arithmetic number, because the mean of its divisors is an integer number (725911810).

Almost surely, 2^54312085800 is an apocalyptic number.

54312085800 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 54312085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104531300640).

54312085800 is an abundant number, since it is smaller than the sum of its proper divisors (154750515480).

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

54312085800 is a wasteful number, since it uses less digits than its factorization.

54312085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12593 (or 12581 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 54312085800 in words is "fifty-four billion, three hundred twelve million, eighty-five thousand, eight hundred".