54895514400 has 360 divisors, whose sum is σ = 210734480880. Its totient is φ = 13868029440.

The previous prime is 54895514383. The next prime is 54895514423. The reversal of 54895514400 is 441559845.

54895514400 is a `hidden beast` number, since 5 + 4 + 8 + 95 + 514 + 40 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1208907 + ... + 1253493.

It is an arithmetic number, because the mean of its divisors is an integer number (585373558).

Almost surely, 2^54895514400 is an apocalyptic number.

54895514400 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 54895514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105367240440).

54895514400 is an abundant number, since it is smaller than the sum of its proper divisors (155838966480).

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

54895514400 is a wasteful number, since it uses less digits than its factorization.

54895514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44638 (or 44616 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 54895514400 in words is "fifty-four billion, eight hundred ninety-five million, five hundred fourteen thousand, four hundred".