82691203584 has 320 divisors, whose sum is σ = 249464033280. Its totient is φ = 24121344000.

The previous prime is 82691203579. The next prime is 82691203597. The reversal of 82691203584 is 48530219628.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54725389 + ... + 54726899.

It is an arithmetic number, because the mean of its divisors is an integer number (779575104).

Almost surely, 2^82691203584 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 82691203584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124732016640).

82691203584 is an abundant number, since it is smaller than the sum of its proper divisors (166772829696).

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

82691203584 is a wasteful number, since it uses less digits than its factorization.

82691203584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 82691203584 in words is "eighty-two billion, six hundred ninety-one million, two hundred three thousand, five hundred eighty-four".