10235290832 has 80 divisors (see below), whose sum is σ = 22080586752. Its totient is φ = 4564270080.

The previous prime is 10235290811. The next prime is 10235290841. The reversal of 10235290832 is 23809253201.

It is a super-2 number, since 2×10235290832² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10235290792 and 10235290801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7072733 + ... + 7074179.

Almost surely, 2^10235290832 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 10235290832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11040293376).

10235290832 is an abundant number, since it is smaller than the sum of its proper divisors (11845295920).

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

10235290832 is a wasteful number, since it uses less digits than its factorization.

10235290832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 10235290832 in words is "ten billion, two hundred thirty-five million, two hundred ninety thousand, eight hundred thirty-two".