864807002500 has 135 divisors (see below), whose sum is σ = 2200749045033. Its totient is φ = 296393664000.

The previous prime is 864807002299. The next prime is 864807002519. The reversal of 864807002500 is 5200708468.

The square root of 864807002500 is 929950.

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

It can be written as a sum of positive squares in 7 ways, for example, as 543254495364 + 321552507136 = 737058^2 + 567056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 325481172 + ... + 325483828.

Almost surely, 2^864807002500 is an apocalyptic number.

864807002500 is the 929950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864807002500

864807002500 is an abundant number, since it is smaller than the sum of its proper divisors (1335942042533).

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

864807002500 is an frugal number, since it uses more digits than its factorization.

864807002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 864807002500 in words is "eight hundred sixty-four billion, eight hundred seven million, two thousand, five hundred".