10259895360 has 336 divisors, whose sum is σ = 38487096000. Its totient is φ = 2295521280.

The previous prime is 10259895341. The next prime is 10259895397. The reversal of 10259895360 is 6359895201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1781766 + ... + 1787514.

Almost surely, 2^10259895360 is an apocalyptic number.

10259895360 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 10259895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19243548000).

10259895360 is an abundant number, since it is smaller than the sum of its proper divisors (28227200640).

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

10259895360 is a wasteful number, since it uses less digits than its factorization.

10259895360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5806 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 10259895360 in words is "ten billion, two hundred fifty-nine million, eight hundred ninety-five thousand, three hundred sixty".