90266963268240 has 960 divisors, whose sum is σ = 365730876725760. Its totient is φ = 19681444823040.

The previous prime is 90266963268239. The next prime is 90266963268241. The reversal of 90266963268240 is 4286236966209.

90266963268240 is a `hidden beast` number, since 9 + 0 + 2 + 6 + 69 + 6 + 326 + 8 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (90266963268239) and next prime (90266963268241).

It is not an unprimeable number, because it can be changed into a prime (90266963268241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3384701626 + ... + 3384728294.

It is an arithmetic number, because the mean of its divisors is an integer number (380969663256).

Almost surely, 2^{90266963268240} is an apocalyptic number.

90266963268240 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 90266963268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182865438362880).

90266963268240 is an abundant number, since it is smaller than the sum of its proper divisors (275463913457520).

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

90266963268240 is a wasteful number, since it uses less digits than its factorization.

90266963268240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27832 (or 27823 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 90266963268240 in words is "ninety trillion, two hundred sixty-six billion, nine hundred sixty-three million, two hundred sixty-eight thousand, two hundred forty".