27755587874025 has 192 divisors, whose sum is σ = 58051710167040. Its totient is φ = 12869942342400.

The previous prime is 27755587873987. The next prime is 27755587874057. The reversal of 27755587874025 is 52047878555772.

27755587874025 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 558 + 7 + 8 + 7 + 40 + 25 = 666.

It is not a de Polignac number, because 27755587874025 - 2⁹ = 27755587873513 is a prime.

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, 1407688467 + ... + 1407708183.

It is an arithmetic number, because the mean of its divisors is an integer number (302352657120).

Almost surely, 2^{27755587874025} is an apocalyptic number.

27755587874025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27755587874025 is an abundant number, since it is smaller than the sum of its proper divisors (30296122293015).

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

27755587874025 is a wasteful number, since it uses less digits than its factorization.

27755587874025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28013 (or 28002 counting only the distinct ones).

The product of its (nonzero) digits is 1536640000, while the sum is 72.

The spelling of 27755587874025 in words is "twenty-seven trillion, seven hundred fifty-five billion, five hundred eighty-seven million, eight hundred seventy-four thousand, twenty-five".