27528086189376 has 168 divisors, whose sum is σ = 79400665724640. Its totient is φ = 9118320989184.

The previous prime is 27528086189371. The next prime is 27528086189399. The reversal of 27528086189376 is 67398168082572.

27528086189376 is a `hidden beast` number, since 2 + 7 + 528 + 0 + 8 + 6 + 1 + 8 + 93 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27528086189371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731274811 + ... + 731312453.

Almost surely, 2^{27528086189376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27528086189376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39700332862320).

27528086189376 is an abundant number, since it is smaller than the sum of its proper divisors (51872579535264).

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

27528086189376 is a wasteful number, since it uses less digits than its factorization.

27528086189376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45613 (or 45600 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 27528086189376 in words is "twenty-seven trillion, five hundred twenty-eight billion, eighty-six million, one hundred eighty-nine thousand, three hundred seventy-six".