27956895086232 has 384 divisors, whose sum is σ = 88695282424320. Its totient is φ = 7790425344000.

The previous prime is 27956895086063. The next prime is 27956895086261. The reversal of 27956895086232 is 23268059865972.

27956895086232 is a `hidden beast` number, since 2 + 7 + 9 + 5 + 6 + 89 + 508 + 6 + 2 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7293735388 + ... + 7293739220.

It is an arithmetic number, because the mean of its divisors is an integer number (230977297980).

Almost surely, 2^{27956895086232} 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 27956895086232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44347641212160).

27956895086232 is an abundant number, since it is smaller than the sum of its proper divisors (60738387338088).

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

27956895086232 is a wasteful number, since it uses less digits than its factorization.

27956895086232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 27956895086232 in words is "twenty-seven trillion, nine hundred fifty-six billion, eight hundred ninety-five million, eighty-six thousand, two hundred thirty-two".