90835949971260 has 1536 divisors, whose sum is σ = 345950283571200. Its totient is φ = 19564352962560.

The previous prime is 90835949971253. The next prime is 90835949971279. The reversal of 90835949971260 is 6217994953809.

90835949971260 is a `hidden beast` number, since 9 + 0 + 8 + 3 + 5 + 9 + 499 + 7 + 126 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 10566001282 + ... + 10566009878.

It is an arithmetic number, because the mean of its divisors is an integer number (225228049200).

It is a 1-persistent number, because it is pandigital, but 2⋅90835949971260 = 181671899942520 is not.

Almost surely, 2^{90835949971260} is an apocalyptic number.

90835949971260 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 90835949971260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172975141785600).

90835949971260 is an abundant number, since it is smaller than the sum of its proper divisors (255114333599940).

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

90835949971260 is a wasteful number, since it uses less digits than its factorization.

90835949971260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8788 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 90835949971260 in words is "ninety trillion, eight hundred thirty-five billion, nine hundred forty-nine million, nine hundred seventy-one thousand, two hundred sixty".