54868116830400 has 420 divisors, whose sum is σ = 201705994445472. Its totient is φ = 14629713315840.

The previous prime is 54868116830323. The next prime is 54868116830413. The reversal of 54868116830400 is 403861186845.

54868116830400 is a `hidden beast` number, since 5 + 4 + 86 + 81 + 1 + 6 + 83 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1324880094 + ... + 1324921506.

Almost surely, 2^{54868116830400} is an apocalyptic number.

54868116830400 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 54868116830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100852997222736).

54868116830400 is an abundant number, since it is smaller than the sum of its proper divisors (146837877615072).

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

54868116830400 is a wasteful number, since it uses less digits than its factorization.

54868116830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51670 (or 51646 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 54868116830400 in words is "fifty-four trillion, eight hundred sixty-eight billion, one hundred sixteen million, eight hundred thirty thousand, four hundred".