82291662720 has 256 divisors, whose sum is σ = 294180076800. Its totient is φ = 21738866688.

The previous prime is 82291662709. The next prime is 82291662737. The reversal of 82291662720 is 2726619228.

82291662720 is a `hidden beast` number, since 8 + 2 + 2 + 9 + 16 + 627 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1826707 + ... + 1871213.

It is an arithmetic number, because the mean of its divisors is an integer number (1149140925).

Almost surely, 2^82291662720 is an apocalyptic number.

82291662720 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 82291662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147090038400).

82291662720 is an abundant number, since it is smaller than the sum of its proper divisors (211888414080).

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

82291662720 is a wasteful number, since it uses less digits than its factorization.

82291662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44642 (or 44624 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 82291662720 in words is "eighty-two billion, two hundred ninety-one million, six hundred sixty-two thousand, seven hundred twenty".