90293898240 has 1056 divisors, whose sum is σ = 392487129216. Its totient is φ = 18685624320.

The previous prime is 90293898239. The next prime is 90293898251. The reversal of 90293898240 is 4289839209.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255789904 + ... + 255790256.

Almost surely, 2^90293898240 is an apocalyptic number.

90293898240 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 90293898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196243564608).

90293898240 is an abundant number, since it is smaller than the sum of its proper divisors (302193230976).

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

90293898240 is a wasteful number, since it uses less digits than its factorization.

90293898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 90293898240 in words is "ninety billion, two hundred ninety-three million, eight hundred ninety-eight thousand, two hundred forty".