27258507990 has 384 divisors, whose sum is σ = 86461240320. Its totient is φ = 6050723328.

The previous prime is 27258507961. The next prime is 27258508003. The reversal of 27258507990 is 9970585272.

27258507990 is a `hidden beast` number, since 27 + 25 + 8 + 507 + 9 + 90 = 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 191 ways as a sum of consecutive naturals, for example, 157563544 + ... + 157563716.

It is an arithmetic number, because the mean of its divisors is an integer number (225159480).

Almost surely, 2^27258507990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27258507990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43230620160).

27258507990 is an abundant number, since it is smaller than the sum of its proper divisors (59202732330).

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

27258507990 is a wasteful number, since it uses less digits than its factorization.

27258507990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 27258507990 in words is "twenty-seven billion, two hundred fifty-eight million, five hundred seven thousand, nine hundred ninety".