90106870640640 has 624 divisors, whose sum is σ = 335837003413248. Its totient is φ = 20567625695232.

The previous prime is 90106870640587. The next prime is 90106870640687. The reversal of 90106870640640 is 4604607860109.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2236825939 + ... + 2236866221.

Almost surely, 2^{90106870640640} 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 90106870640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167918501706624).

90106870640640 is an abundant number, since it is smaller than the sum of its proper divisors (245730132772608).

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

90106870640640 is a wasteful number, since it uses less digits than its factorization.

90106870640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41072 (or 41043 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 90106870640640 in words is "ninety trillion, one hundred six billion, eight hundred seventy million, six hundred forty thousand, six hundred forty".