90211216320 has 280 divisors, whose sum is σ = 321633031104. Its totient is φ = 24001173504.

The previous prime is 90211216273. The next prime is 90211216321. The reversal of 90211216320 is 2361211209.

90211216320 is a `hidden beast` number, since 9 + 0 + 2 + 1 + 1 + 21 + 632 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90211216321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11997202 + ... + 12004718.

Almost surely, 2^90211216320 is an apocalyptic number.

90211216320 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 90211216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160816515552).

90211216320 is an abundant number, since it is smaller than the sum of its proper divisors (231421814784).

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

90211216320 is a wasteful number, since it uses less digits than its factorization.

90211216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8009 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 90211216320 its reverse (2361211209), we get a palindrome (92572427529).

The spelling of 90211216320 in words is "ninety billion, two hundred eleven million, two hundred sixteen thousand, three hundred twenty".