90219312000 has 512 divisors, whose sum is σ = 335889590400. Its totient is φ = 23799398400.

The previous prime is 90219311989. The next prime is 90219312031. The reversal of 90219312000 is 21391209.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41902924 + ... + 41905076.

Almost surely, 2^90219312000 is an apocalyptic number.

90219312000 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 90219312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167944795200).

90219312000 is an abundant number, since it is smaller than the sum of its proper divisors (245670278400).

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

90219312000 is a wasteful number, since it uses less digits than its factorization.

90219312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 90219312000 in words is "ninety billion, two hundred nineteen million, three hundred twelve thousand".