90884571832320 has 448 divisors, whose sum is σ = 332665646616576. Its totient is φ = 20754361221120.

The previous prime is 90884571832303. The next prime is 90884571832433. The reversal of 90884571832320 is 2323817548809.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938386137 + ... + 938482983.

It is an arithmetic number, because the mean of its divisors is an integer number (742557246912).

Almost surely, 2^{90884571832320} 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 90884571832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166332823308288).

90884571832320 is an abundant number, since it is smaller than the sum of its proper divisors (241781074784256).

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

90884571832320 is a wasteful number, since it uses less digits than its factorization.

90884571832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97979 (or 97955 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 90884571832320 in words is "ninety trillion, eight hundred eighty-four billion, five hundred seventy-one million, eight hundred thirty-two thousand, three hundred twenty".