90517268016 has 600 divisors, whose sum is σ = 329125943520. Its totient is φ = 23873439744.

The previous prime is 90517268011. The next prime is 90517268059. The reversal of 90517268016 is 61086271509.

It is not an unprimeable number, because it can be changed into a prime (90517268011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42356100 + ... + 42358236.

Almost surely, 2^90517268016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90517268016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164562971760).

90517268016 is an abundant number, since it is smaller than the sum of its proper divisors (238608675504).

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

90517268016 is a wasteful number, since it uses less digits than its factorization.

90517268016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 90517268016 in words is "ninety billion, five hundred seventeen million, two hundred sixty-eight thousand, sixteen".