90333285751296 has 1080 divisors, whose sum is σ = 319660207865856. Its totient is φ = 25421189713920.

The previous prime is 90333285751273. The next prime is 90333285751307. The reversal of 90333285751296 is 69215758233309.

It is a happy number.

90333285751296 is a `hidden beast` number, since 9 + 0 + 3 + 3 + 3 + 28 + 5 + 7 + 512 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 107 ways as a sum of consecutive naturals, for example, 11028354561 + ... + 11028362751.

Almost surely, 2^{90333285751296} is an apocalyptic number.

90333285751296 is a gapful number since it is divisible by the number (96) 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 90333285751296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159830103932928).

90333285751296 is an abundant number, since it is smaller than the sum of its proper divisors (229326922114560).

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

90333285751296 is an frugal number, since it uses more digits than its factorization.

90333285751296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8314 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 90333285751296 in words is "ninety trillion, three hundred thirty-three billion, two hundred eighty-five million, seven hundred fifty-one thousand, two hundred ninety-six".