90090098280 has 384 divisors, whose sum is σ = 379329350400. Its totient is φ = 18007474176.

The previous prime is 90090098257. The next prime is 90090098303. The reversal of 90090098280 is 8289009009.

It is an interprime number because it is at equal distance from previous prime (90090098257) and next prime (90090098303).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 550072 + ... + 694808.

It is an arithmetic number, because the mean of its divisors is an integer number (987836850).

Almost surely, 2^90090098280 is an apocalyptic number.

90090098280 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 90090098280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189664675200).

90090098280 is an abundant number, since it is smaller than the sum of its proper divisors (289239252120).

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

90090098280 is a wasteful number, since it uses less digits than its factorization.

90090098280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144793 (or 144786 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 90090098280 in words is "ninety billion, ninety million, ninety-eight thousand, two hundred eighty".