90264302326800 has 600 divisors, whose sum is σ = 382996683220800. Its totient is φ = 19920396303360.

The previous prime is 90264302326763. The next prime is 90264302326813. The reversal of 90264302326800 is 862320346209.

It is a happy number.

90264302326800 is a `hidden beast` number, since 9 + 0 + 264 + 302 + 3 + 2 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 284710 + ... + 13439109.

It is an arithmetic number, because the mean of its divisors is an integer number (638327805368).

Almost surely, 2^{90264302326800} is an apocalyptic number.

90264302326800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90264302326800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191498341610400).

90264302326800 is an abundant number, since it is smaller than the sum of its proper divisors (292732380894000).

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

90264302326800 is a wasteful number, since it uses less digits than its factorization.

90264302326800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13723885 (or 13723865 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 90264302326800 in words is "ninety trillion, two hundred sixty-four billion, three hundred two million, three hundred twenty-six thousand, eight hundred".