54827441200 has 240 divisors, whose sum is σ = 167787832320. Its totient is φ = 16760770560.

The previous prime is 54827441191. The next prime is 54827441281. The reversal of 54827441200 is 214472845.

It is a self number, because there is not a number n which added to its sum of digits gives 54827441200.

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 47 ways as a sum of consecutive naturals, for example, 874089 + ... + 934711.

It is an arithmetic number, because the mean of its divisors is an integer number (699115968).

Almost surely, 2^54827441200 is an apocalyptic number.

54827441200 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 54827441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83893916160).

54827441200 is an abundant number, since it is smaller than the sum of its proper divisors (112960391120).

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

54827441200 is a wasteful number, since it uses less digits than its factorization.

54827441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60684 (or 60673 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

The spelling of 54827441200 in words is "fifty-four billion, eight hundred twenty-seven million, four hundred forty-one thousand, two hundred".