10232590368 has 288 divisors, whose sum is σ = 36267098112. Its totient is φ = 2453068800.

The previous prime is 10232590367. The next prime is 10232590373. The reversal of 10232590368 is 86309523201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10232590367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1245153 + ... + 1253343.

It is an arithmetic number, because the mean of its divisors is an integer number (125927424).

Almost surely, 2^10232590368 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 10232590368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18133549056).

10232590368 is an abundant number, since it is smaller than the sum of its proper divisors (26034507744).

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

10232590368 is a wasteful number, since it uses less digits than its factorization.

10232590368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 10232590368 in words is "ten billion, two hundred thirty-two million, five hundred ninety thousand, three hundred sixty-eight".