90288530880 has 112 divisors (see below), whose sum is σ = 287582908704. Its totient is φ = 23999938560.

The previous prime is 90288530869. The next prime is 90288530881. The reversal of 90288530880 is 8803588209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90288530881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150240 + ... + 450720.

It is an arithmetic number, because the mean of its divisors is an integer number (2567704542).

Almost surely, 2^90288530880 is an apocalyptic number.

It is a pronic number, being equal to 300480×300481.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90288530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143791454352).

90288530880 is an abundant number, since it is smaller than the sum of its proper divisors (197294377824).

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

90288530880 is a wasteful number, since it uses less digits than its factorization.

90288530880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300814 (or 300804 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 90288530880 in words is "ninety billion, two hundred eighty-eight million, five hundred thirty thousand, eight hundred eighty".