27294632856 has 192 divisors, whose sum is σ = 81326044800. Its totient is φ = 8552044800.

The previous prime is 27294632839. The next prime is 27294632881. The reversal of 27294632856 is 65823649272.

27294632856 is a `hidden beast` number, since 27 + 294 + 6 + 328 + 5 + 6 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4835796 + ... + 4841436.

It is an arithmetic number, because the mean of its divisors is an integer number (423573150).

Almost surely, 2^27294632856 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 27294632856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40663022400).

27294632856 is an abundant number, since it is smaller than the sum of its proper divisors (54031411944).

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

27294632856 is a wasteful number, since it uses less digits than its factorization.

27294632856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812 (or 5796 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 27294632856 in words is "twenty-seven billion, two hundred ninety-four million, six hundred thirty-two thousand, eight hundred fifty-six".