82627918128 has 80 divisors (see below), whose sum is σ = 271054556160. Its totient is φ = 23607975744.

The previous prime is 82627918127. The next prime is 82627918129. The reversal of 82627918128 is 82181972628.

82627918128 is a `hidden beast` number, since 8 + 2 + 627 + 9 + 1 + 8 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (82627918127) and next prime (82627918129).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82627918123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13659000 + ... + 13665047.

It is an arithmetic number, because the mean of its divisors is an integer number (3388181952).

Almost surely, 2^82627918128 is an apocalyptic number.

It is an amenable number.

82627918128 is an abundant number, since it is smaller than the sum of its proper divisors (188426638032).

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

82627918128 is a wasteful number, since it uses less digits than its factorization.

82627918128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27324071 (or 27324059 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 82627918128 in words is "eighty-two billion, six hundred twenty-seven million, nine hundred eighteen thousand, one hundred twenty-eight".