10090435264 has 224 divisors, whose sum is σ = 25431146496. Its totient is φ = 3866296320.

The previous prime is 10090435261. The next prime is 10090435283. The reversal of 10090435264 is 46253409001.

It is a happy number.

10090435264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (10090435261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52281952 + ... + 52282144.

It is an arithmetic number, because the mean of its divisors is an integer number (113531904).

Almost surely, 2^10090435264 is an apocalyptic number.

10090435264 is a gapful number since it is divisible by the number (14) 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 10090435264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715573248).

10090435264 is an abundant number, since it is smaller than the sum of its proper divisors (15340711232).

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

10090435264 is a wasteful number, since it uses less digits than its factorization.

10090435264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 10090435264 in words is "ten billion, ninety million, four hundred thirty-five thousand, two hundred sixty-four".