10258032000 has 256 divisors, whose sum is σ = 34736532480. Its totient is φ = 2676684800.

The previous prime is 10258031983. The next prime is 10258032011. The reversal of 10258032000 is 23085201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2253727 + ... + 2258273.

It is an arithmetic number, because the mean of its divisors is an integer number (135689580).

Almost surely, 2^10258032000 is an apocalyptic number.

10258032000 is a gapful number since it is divisible by the number (10) 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 10258032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368266240).

10258032000 is an abundant number, since it is smaller than the sum of its proper divisors (24478500480).

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

10258032000 is an equidigital number, since it uses as much as digits as its factorization.

10258032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 10258032000 in words is "ten billion, two hundred fifty-eight million, thirty-two thousand".