82512192124656 has 120 divisors (see below), whose sum is σ = 273682415121024. Its totient is φ = 23574912027840.

The previous prime is 82512192124603. The next prime is 82512192124673. The reversal of 82512192124656 is 65642129121528.

It is a happy number.

82512192124656 is a `hidden beast` number, since 8 + 2 + 512 + 19 + 21 + 2 + 46 + 56 = 666.

It is a super-2 number, since 2×82512192124656² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1515849330 + ... + 1515903761.

Almost surely, 2^{82512192124656} is an apocalyptic number.

It is an amenable number.

82512192124656 is an abundant number, since it is smaller than the sum of its proper divisors (191170222996368).

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

82512192124656 is a wasteful number, since it uses less digits than its factorization.

82512192124656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031753121 (or 3031753103 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 82512192124656 in words is "eighty-two trillion, five hundred twelve billion, one hundred ninety-two million, one hundred twenty-four thousand, six hundred fifty-six".