27976582763136 has 640 divisors, whose sum is σ = 101332140687360. Its totient is φ = 7479571415040.

The previous prime is 27976582763123. The next prime is 27976582763141. The reversal of 27976582763136 is 63136728567972.

27976582763136 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 6 + 582 + 7 + 6 + 3 + 1 + 36 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 213380481 + ... + 213511551.

It is an arithmetic number, because the mean of its divisors is an integer number (158331469824).

Almost surely, 2^{27976582763136} 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 27976582763136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50666070343680).

27976582763136 is an abundant number, since it is smaller than the sum of its proper divisors (73355557924224).

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

27976582763136 is a wasteful number, since it uses less digits than its factorization.

27976582763136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131294 (or 131273 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 27976582763136 in words is "twenty-seven trillion, nine hundred seventy-six billion, five hundred eighty-two million, seven hundred sixty-three thousand, one hundred thirty-six".