90963106158960 has 480 divisors, whose sum is σ = 354910987671552. Its totient is φ = 20448003502080.

The previous prime is 90963106158937. The next prime is 90963106158971. The reversal of 90963106158960 is 6985160136909.

90963106158960 is a `hidden beast` number, since 9 + 0 + 9 + 6 + 3 + 1 + 0 + 615 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208130265 + ... + 208566855.

Almost surely, 2^{90963106158960} is an apocalyptic number.

90963106158960 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 90963106158960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177455493835776).

90963106158960 is an abundant number, since it is smaller than the sum of its proper divisors (263947881512592).

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

90963106158960 is a wasteful number, since it uses less digits than its factorization.

90963106158960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437301 (or 437292 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 90963106158960 in words is "ninety trillion, nine hundred sixty-three billion, one hundred six million, one hundred fifty-eight thousand, nine hundred sixty".