82002916900 has 36 divisors (see below), whose sum is σ = 178974958932. Its totient is φ = 32611557760.

The previous prime is 82002916889. The next prime is 82002916913. The reversal of 82002916900 is 961920028.

It can be written as a sum of positive squares in 6 ways, for example, as 5635805184 + 76367111716 = 75072^2 + 276346^2 .

It is a super-2 number, since 2×82002916900² (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 82002916900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2352727 + ... + 2387326.

It is an arithmetic number, because the mean of its divisors is an integer number (4971526637).

Almost surely, 2^82002916900 is an apocalyptic number.

It is an amenable number.

82002916900 is an abundant number, since it is smaller than the sum of its proper divisors (96972042032).

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

82002916900 is a wasteful number, since it uses less digits than its factorization.

82002916900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740240 (or 4740233 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 82002916900 in words is "eighty-two billion, two million, nine hundred sixteen thousand, nine hundred".