82991165760 has 448 divisors, whose sum is σ = 318395543040. Its totient is φ = 20264878080.

The previous prime is 82991165731. The next prime is 82991165791. The reversal of 82991165760 is 6756119928.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82991165697 and 82991165706.

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, 5426925 + ... + 5442195.

Almost surely, 2^82991165760 is an apocalyptic number.

82991165760 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 82991165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159197771520).

82991165760 is an abundant number, since it is smaller than the sum of its proper divisors (235404377280).

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

82991165760 is a wasteful number, since it uses less digits than its factorization.

82991165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15351 (or 15335 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 82991165760 in words is "eighty-two billion, nine hundred ninety-one million, one hundred sixty-five thousand, seven hundred sixty".