82600993020 has 192 divisors, whose sum is σ = 285057884160. Its totient is φ = 17403282432.

The previous prime is 82600993001. The next prime is 82600993037. The reversal of 82600993020 is 2039900628.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 82600993020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3991861 + ... + 4012499.

It is an arithmetic number, because the mean of its divisors is an integer number (1484676480).

Almost surely, 2^82600993020 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 82600993020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142528942080).

82600993020 is an abundant number, since it is smaller than the sum of its proper divisors (202456891140).

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

82600993020 is a wasteful number, since it uses less digits than its factorization.

82600993020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21404 (or 21402 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 82600993020 in words is "eighty-two billion, six hundred million, nine hundred ninety-three thousand, twenty".