54798649382400 has 1920 divisors, whose sum is σ = 232593391641600. Its totient is φ = 11043550003200.

The previous prime is 54798649382371. The next prime is 54798649382467. The reversal of 54798649382400 is 428394689745.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13947223636 + ... + 13947227564.

It is an arithmetic number, because the mean of its divisors is an integer number (121142391480).

Almost surely, 2^{54798649382400} is an apocalyptic number.

54798649382400 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 54798649382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116296695820800).

54798649382400 is an abundant number, since it is smaller than the sum of its proper divisors (177794742259200).

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

54798649382400 is a wasteful number, since it uses less digits than its factorization.

54798649382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 69.

The spelling of 54798649382400 in words is "fifty-four trillion, seven hundred ninety-eight billion, six hundred forty-nine million, three hundred eighty-two thousand, four hundred".