90930969360 has 560 divisors, whose sum is σ = 395211312000. Its totient is φ = 18893813760.

The previous prime is 90930969319. The next prime is 90930969377. The reversal of 90930969360 is 6396903909.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 90930969297 and 90930969306.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4480516 + ... + 4500764.

Almost surely, 2^90930969360 is an apocalyptic number.

90930969360 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 90930969360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197605656000).

90930969360 is an abundant number, since it is smaller than the sum of its proper divisors (304280342640).

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

90930969360 is a wasteful number, since it uses less digits than its factorization.

90930969360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20298 (or 20277 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The spelling of 90930969360 in words is "ninety billion, nine hundred thirty million, nine hundred sixty-nine thousand, three hundred sixty".