90095268480 has 512 divisors, whose sum is σ = 334986278400. Its totient is φ = 20171980800.

The previous prime is 90095268469. The next prime is 90095268551. The reversal of 90095268480 is 8486259009.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224676280 + ... + 224676680.

It is an arithmetic number, because the mean of its divisors is an integer number (654270075).

Almost surely, 2^90095268480 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 90095268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167493139200).

90095268480 is an abundant number, since it is smaller than the sum of its proper divisors (244891009920).

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

90095268480 is a wasteful number, since it uses less digits than its factorization.

90095268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 90095268480 in words is "ninety billion, ninety-five million, two hundred sixty-eight thousand, four hundred eighty".