10430233325952 has 128 divisors (see below), whose sum is σ = 30231677347200. Its totient is φ = 3159870935040.

The previous prime is 10430233325947. The next prime is 10430233325977. The reversal of 10430233325952 is 25952333203401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16359324 + ... + 16984932.

It is an arithmetic number, because the mean of its divisors is an integer number (236184979275).

Almost surely, 2^{10430233325952} is an apocalyptic number.

10430233325952 is a gapful number since it is divisible by the number (12) 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 10430233325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115838673600).

10430233325952 is an abundant number, since it is smaller than the sum of its proper divisors (19801444021248).

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

10430233325952 is a wasteful number, since it uses less digits than its factorization.

10430233325952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629584 (or 629572 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 10430233325952 in words is "ten trillion, four hundred thirty billion, two hundred thirty-three million, three hundred twenty-five thousand, nine hundred fifty-two".