27946313639856 has 200 divisors, whose sum is σ = 85147177860800. Its totient is φ = 8824597488000.

The previous prime is 27946313639851. The next prime is 27946313639863. The reversal of 27946313639856 is 65893631364972.

27946313639856 is a `hidden beast` number, since 2 + 7 + 9 + 463 + 13 + 63 + 98 + 5 + 6 = 666.

It is a super-2 number, since 2×27946313639856² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (27946313639851) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 591420231 + ... + 591467481.

It is an arithmetic number, because the mean of its divisors is an integer number (425735889304).

Almost surely, 2^{27946313639856} 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 27946313639856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42573588930400).

27946313639856 is an abundant number, since it is smaller than the sum of its proper divisors (57200864220944).

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

27946313639856 is a wasteful number, since it uses less digits than its factorization.

27946313639856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71309 (or 71294 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 27946313639856 in words is "twenty-seven trillion, nine hundred forty-six billion, three hundred thirteen million, six hundred thirty-nine thousand, eight hundred fifty-six".