54489913315200 has 3840 divisors, whose sum is σ = 236598628147200. Its totient is φ = 12274633728000.

The previous prime is 54489913315199. The next prime is 54489913315213. The reversal of 54489913315200 is 251331998445.

54489913315200 is a `hidden beast` number, since 5 + 4 + 4 + 89 + 9 + 1 + 3 + 31 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 923557852771 + ... + 923557852829.

It is an arithmetic number, because the mean of its divisors is an integer number (61614226080).

Almost surely, 2^{54489913315200} is an apocalyptic number.

54489913315200 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 54489913315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118299314073600).

54489913315200 is an abundant number, since it is smaller than the sum of its proper divisors (182108714832000).

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

54489913315200 is an equidigital number, since it uses as much as digits as its factorization.

54489913315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 54489913315200 in words is "fifty-four trillion, four hundred eighty-nine billion, nine hundred thirteen million, three hundred fifteen thousand, two hundred".