90288899895929 has 20 divisors (see below), whose sum is σ = 105336867798900. Its totient is φ = 77386014478080.

The previous prime is 90288899895907. The next prime is 90288899895937. The reversal of 90288899895929 is 92959899888209.

It can be written as a sum of positive squares in 2 ways, for example, as 84885320702329 + 5403579193600 = 9213323^2 + 2324560^2 .

It is a de Polignac number, because none of the positive numbers 2^k-90288899895929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90288899895629) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40817489 + ... + 42972609.

It is an arithmetic number, because the mean of its divisors is an integer number (5266843389945).

Almost surely, 2^{90288899895929} is an apocalyptic number.

It is an amenable number.

90288899895929 is a deficient number, since it is larger than the sum of its proper divisors (15047967902971).

90288899895929 is an equidigital number, since it uses as much as digits as its factorization.

90288899895929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172598 (or 2172577 counting only the distinct ones).

The product of its (nonzero) digits is 43535646720, while the sum is 95.

The spelling of 90288899895929 in words is "ninety trillion, two hundred eighty-eight billion, eight hundred ninety-nine million, eight hundred ninety-five thousand, nine hundred twenty-nine".