55293560582400 has 3456 divisors, whose sum is σ = 251844830899200. Its totient is φ = 11729900666880.

The previous prime is 55293560582263. The next prime is 55293560582413. The reversal of 55293560582400 is 428506539255.

55293560582400 is a `hidden beast` number, since 5 + 5 + 2 + 9 + 3 + 5 + 605 + 8 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 148240108614 + ... + 148240108986.

It is an arithmetic number, because the mean of its divisors is an integer number (72871768200).

Almost surely, 2^{55293560582400} is an apocalyptic number.

55293560582400 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 55293560582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125922415449600).

55293560582400 is an abundant number, since it is smaller than the sum of its proper divisors (196551270316800).

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

55293560582400 is an equidigital number, since it uses as much as digits as its factorization.

55293560582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 55293560582400 in words is "fifty-five trillion, two hundred ninety-three billion, five hundred sixty million, five hundred eighty-two thousand, four hundred".