54668390400 has 936 divisors, whose sum is σ = 219976840720. Its totient is φ = 13456834560.

The previous prime is 54668390393. The next prime is 54668390423. The reversal of 54668390400 is 409386645.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

54668390400 is a `hidden beast` number, since 546 + 68 + 3 + 9 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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, 4205260794 + ... + 4205260806.

Almost surely, 2^54668390400 is an apocalyptic number.

54668390400 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 54668390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109988420360).

54668390400 is an abundant number, since it is smaller than the sum of its proper divisors (165308450320).

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

54668390400 is an frugal number, since it uses more digits than its factorization.

54668390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 54668390400 in words is "fifty-four billion, six hundred sixty-eight million, three hundred ninety thousand, four hundred".