82869136900 has 81 divisors (see below), whose sum is σ = 197735571327. Its totient is φ = 30122716800.

The previous prime is 82869136859. The next prime is 82869136993. The reversal of 82869136900 is 963196828.

It is a happy number.

The square root of 82869136900 is 287870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18145706436 + 64723430464 = 134706^2 + 254408^2 .

It is a super-2 number, since 2×82869136900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31664392 + ... + 31667008.

Almost surely, 2^82869136900 is an apocalyptic number.

82869136900 is the 287870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82869136900

82869136900 is an abundant number, since it is smaller than the sum of its proper divisors (114866434427).

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

82869136900 is a wasteful number, since it uses less digits than its factorization.

82869136900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 2635 counting only the distinct ones).

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

The spelling of 82869136900 in words is "eighty-two billion, eight hundred sixty-nine million, one hundred thirty-six thousand, nine hundred".