54275768400 has 120 divisors (see below), whose sum is σ = 198701034304. Its totient is φ = 12405888000.

The previous prime is 54275768399. The next prime is 54275768423. The reversal of 54275768400 is 486757245.

It is a tau number, because it is divible by the number of its divisors (120).

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 54275768400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3222301 + ... + 3239100.

Almost surely, 2^54275768400 is an apocalyptic number.

54275768400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54275768400 is an abundant number, since it is smaller than the sum of its proper divisors (144425265904).

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

54275768400 is a wasteful number, since it uses less digits than its factorization.

54275768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461429 (or 6461418 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 54275768400 in words is "fifty-four billion, two hundred seventy-five million, seven hundred sixty-eight thousand, four hundred".