89191822500 has 405 divisors, whose sum is σ = 311391829749. Its totient is φ = 21502800000.

The previous prime is 89191822459. The next prime is 89191822513. The reversal of 89191822500 is 522819198.

The square root of 89191822500 is 298650.

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 86376034404 + 2815788096 = 293898^2 + 53064^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 134 ways as a sum of consecutive naturals, for example, 492772410 + ... + 492772590.

Almost surely, 2^89191822500 is an apocalyptic number.

89191822500 is the 298650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89191822500

89191822500 is an abundant number, since it is smaller than the sum of its proper divisors (222200007249).

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

89191822500 is a wasteful number, since it uses less digits than its factorization.

89191822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 89191822500 in words is "eighty-nine billion, one hundred ninety-one million, eight hundred twenty-two thousand, five hundred".