82971079891920 has 640 divisors, whose sum is σ = 335161691136000. Its totient is φ = 18650116823040.

The previous prime is 82971079891897. The next prime is 82971079891927. The reversal of 82971079891920 is 2919897017928.

82971079891920 is a `hidden beast` number, since 8 + 297 + 1 + 0 + 79 + 89 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82971079891927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19262446 + ... + 23172914.

It is an arithmetic number, because the mean of its divisors is an integer number (523690142400).

Almost surely, 2^{82971079891920} is an apocalyptic number.

82971079891920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82971079891920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167580845568000).

82971079891920 is an abundant number, since it is smaller than the sum of its proper divisors (252190611244080).

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

82971079891920 is a wasteful number, since it uses less digits than its factorization.

82971079891920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910568 (or 3910556 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 72.

The spelling of 82971079891920 in words is "eighty-two trillion, nine hundred seventy-one billion, seventy-nine million, eight hundred ninety-one thousand, nine hundred twenty".