82930090984 has 64 divisors (see below), whose sum is σ = 170126208000. Its totient is φ = 37666024704.

The previous prime is 82930090889. The next prime is 82930091039. The reversal of 82930090984 is 48909003928.

It is a super-2 number, since 2×82930090984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7568742 + ... + 7579690.

It is an arithmetic number, because the mean of its divisors is an integer number (2658222000).

Almost surely, 2^82930090984 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 82930090984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85063104000).

82930090984 is an abundant number, since it is smaller than the sum of its proper divisors (87196117016).

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

82930090984 is a wasteful number, since it uses less digits than its factorization.

82930090984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12122 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 82930090984 in words is "eighty-two billion, nine hundred thirty million, ninety thousand, nine hundred eighty-four".