82961827992 has 128 divisors (see below), whose sum is σ = 233745600000. Its totient is φ = 27261007488.

The previous prime is 82961827919. The next prime is 82961827999. The reversal of 82961827992 is 29972816928.

It is a happy number.

82961827992 is a `hidden beast` number, since 8 + 2 + 9 + 618 + 2 + 7 + 9 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82961827999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4676403 + ... + 4694109.

It is an arithmetic number, because the mean of its divisors is an integer number (1826137500).

Almost surely, 2^82961827992 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 82961827992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116872800000).

82961827992 is an abundant number, since it is smaller than the sum of its proper divisors (150783772008).

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

82961827992 is a wasteful number, since it uses less digits than its factorization.

82961827992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18030 (or 18020 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 82961827992 in words is "eighty-two billion, nine hundred sixty-one million, eight hundred twenty-seven thousand, nine hundred ninety-two".