82632092256 has 72 divisors (see below), whose sum is σ = 268554306384. Its totient is φ = 23609168640.

The previous prime is 82632092251. The next prime is 82632092261. The reversal of 82632092256 is 65229023628.

82632092256 is a `hidden beast` number, since 8 + 2 + 632 + 0 + 9 + 2 + 2 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (82632092251) and next prime (82632092261).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82632092251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20492055 + ... + 20496086.

It is an arithmetic number, because the mean of its divisors is an integer number (3729920922).

Almost surely, 2^82632092256 is an apocalyptic number.

It is an amenable number.

82632092256 is an abundant number, since it is smaller than the sum of its proper divisors (185922214128).

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

82632092256 is a wasteful number, since it uses less digits than its factorization.

82632092256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40988164 (or 40988153 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 82632092256 in words is "eighty-two billion, six hundred thirty-two million, ninety-two thousand, two hundred fifty-six".