54807944400 has 360 divisors, whose sum is σ = 209834426880. Its totient is φ = 13136640000.

The previous prime is 54807944363. The next prime is 54807944413. The reversal of 54807944400 is 444970845.

54807944400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3516625 + ... + 3532175.

It is an arithmetic number, because the mean of its divisors is an integer number (582873408).

Almost surely, 2^54807944400 is an apocalyptic number.

54807944400 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 54807944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104917213440).

54807944400 is an abundant number, since it is smaller than the sum of its proper divisors (155026482480).

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

54807944400 is a wasteful number, since it uses less digits than its factorization.

54807944400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15675 (or 15661 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 54807944400 in words is "fifty-four billion, eight hundred seven million, nine hundred forty-four thousand, four hundred".