90291468960 has 1152 divisors, whose sum is σ = 424811278080. Its totient is φ = 17650483200.

The previous prime is 90291468931. The next prime is 90291468983. The reversal of 90291468960 is 6986419209.

90291468960 is a `hidden beast` number, since 9 + 0 + 2 + 91 + 468 + 96 + 0 = 666.

It is a super-3 number, since 3×90291468960³ (a number of 34 digits) contains 333 as substring.

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 = 90291468897 and 90291468906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39583020 + ... + 39585300.

It is an arithmetic number, because the mean of its divisors is an integer number (368759790).

Almost surely, 2^90291468960 is an apocalyptic number.

90291468960 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 90291468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212405639040).

90291468960 is an abundant number, since it is smaller than the sum of its proper divisors (334519809120).

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

90291468960 is a wasteful number, since it uses less digits than its factorization.

90291468960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 90291468960 in words is "ninety billion, two hundred ninety-one million, four hundred sixty-eight thousand, nine hundred sixty".