90035790000912 has 240 divisors, whose sum is σ = 295534155341568. Its totient is φ = 25057138129920.

The previous prime is 90035790000853. The next prime is 90035790000913. The reversal of 90035790000912 is 21900009753009.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (90035790000913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774903 + ... + 13441430.

Almost surely, 2^{90035790000912} 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 90035790000912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147767077670784).

90035790000912 is an abundant number, since it is smaller than the sum of its proper divisors (205498365340656).

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

90035790000912 is a wasteful number, since it uses less digits than its factorization.

90035790000912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14216518 (or 14216509 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 90035790000912 in words is "ninety trillion, thirty-five billion, seven hundred ninety million, nine hundred twelve", and thus it is an aban number.