55825110127584 has 384 divisors, whose sum is σ = 188975817676800. Its totient is φ = 15899671678464.

The previous prime is 55825110127583. The next prime is 55825110127597. The reversal of 55825110127584 is 48572101152855.

55825110127584 is a `hidden beast` number, since 5 + 5 + 8 + 2 + 51 + 1 + 0 + 1 + 2 + 7 + 584 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55825110127584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55825110127583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155114757 + ... + 155474235.

It is an arithmetic number, because the mean of its divisors is an integer number (492124525200).

Almost surely, 2^{55825110127584} is an apocalyptic number.

55825110127584 is a gapful number since it is divisible by the number (54) 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 55825110127584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94487908838400).

55825110127584 is an abundant number, since it is smaller than the sum of its proper divisors (133150707549216).

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

55825110127584 is an equidigital number, since it uses as much as digits as its factorization.

55825110127584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359834 (or 359808 counting only the distinct ones).

The product of its (nonzero) digits is 4480000, while the sum is 54.

The spelling of 55825110127584 in words is "fifty-five trillion, eight hundred twenty-five billion, one hundred ten million, one hundred twenty-seven thousand, five hundred eighty-four".