54368026848000 has 504 divisors, whose sum is σ = 203063520756096. Its totient is φ = 14498134272000.

The previous prime is 54368026847993. The next prime is 54368026848019. The reversal of 54368026848000 is 84862086345.

54368026848000 is a `hidden beast` number, since 5 + 43 + 68 + 0 + 2 + 68 + 480 + 0 + 0 = 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 55 ways as a sum of consecutive naturals, for example, 22162705 + ... + 24493295.

It is an arithmetic number, because the mean of its divisors is an integer number (402903811024).

Almost surely, 2^{54368026848000} is an apocalyptic number.

54368026848000 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 54368026848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101531760378048).

54368026848000 is an abundant number, since it is smaller than the sum of its proper divisors (148695493908096).

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

54368026848000 is an frugal number, since it uses more digits than its factorization.

54368026848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330640 (or 2330601 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 54368026848000 in words is "fifty-four trillion, three hundred sixty-eight billion, twenty-six million, eight hundred forty-eight thousand".