82590032980 has 72 divisors (see below), whose sum is σ = 214636407552. Its totient is φ = 26138376576.

The previous prime is 82590032957. The next prime is 82590032981. The reversal of 82590032980 is 8923009528.

It is a super-2 number, since 2×82590032980² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82590032980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82590032981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1721692 + ... + 1769011.

It is an arithmetic number, because the mean of its divisors is an integer number (2981061216).

Almost surely, 2^82590032980 is an apocalyptic number.

It is an amenable number.

82590032980 is an abundant number, since it is smaller than the sum of its proper divisors (132046374572).

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

82590032980 is a wasteful number, since it uses less digits than its factorization.

82590032980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490745 (or 3490730 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 82590032980 in words is "eighty-two billion, five hundred ninety million, thirty-two thousand, nine hundred eighty".