5585250525855 has 768 divisors, whose sum is σ = 13146079887360. Its totient is φ = 1964891934720.

The previous prime is 5585250525847. The next prime is 5585250525923.

5585250525855 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5585250525855 - 2³ = 5585250525847 is a prime.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 11103877534 + ... + 11103878036.

It is an arithmetic number, because the mean of its divisors is an integer number (17117291520).

Almost surely, 2^{5585250525855} is an apocalyptic number.

5585250525855 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5585250525855 is an abundant number, since it is smaller than the sum of its proper divisors (7560829361505).

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

5585250525855 is a wasteful number, since it uses less digits than its factorization.

5585250525855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 100000000, while the sum is 60.

The spelling of 5585250525855 in words is "five trillion, five hundred eighty-five billion, two hundred fifty million, five hundred twenty-five thousand, eight hundred fifty-five".