90771850839040 has 352 divisors, whose sum is σ = 261812173561344. Its totient is φ = 29542078218240.

The previous prime is 90771850839029. The next prime is 90771850839091. The reversal of 90771850839040 is 4093805817709.

It is a self number, because there is not a number n which added to its sum of digits gives 90771850839040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53534509 + ... + 55204051.

Almost surely, 2^{90771850839040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90771850839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130906086780672).

90771850839040 is an abundant number, since it is smaller than the sum of its proper divisors (171040322722304).

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

90771850839040 is a wasteful number, since it uses less digits than its factorization.

90771850839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669653 (or 1669635 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 61.

The spelling of 90771850839040 in words is "ninety trillion, seven hundred seventy-one billion, eight hundred fifty million, eight hundred thirty-nine thousand, forty".