90298091520 has 1536 divisors, whose sum is σ = 409914086400. Its totient is φ = 18345885696.

The previous prime is 90298091467. The next prime is 90298091549. The reversal of 90298091520 is 2519089209.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 930908112 + ... + 930908208.

It is an arithmetic number, because the mean of its divisors is an integer number (266871150).

Almost surely, 2^90298091520 is an apocalyptic number.

90298091520 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 90298091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204957043200).

90298091520 is an abundant number, since it is smaller than the sum of its proper divisors (319615994880).

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

90298091520 is a wasteful number, since it uses less digits than its factorization.

90298091520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 90298091520 in words is "ninety billion, two hundred ninety-eight million, ninety-one thousand, five hundred twenty".