10259901504 has 224 divisors, whose sum is σ = 31995465600. Its totient is φ = 3214909440.

The previous prime is 10259901481. The next prime is 10259901511. The reversal of 10259901504 is 40510995201.

10259901504 is a `hidden beast` number, since 10 + 2 + 59 + 90 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4496844 + ... + 4499124.

It is an arithmetic number, because the mean of its divisors is an integer number (142836900).

Almost surely, 2^10259901504 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 10259901504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15997732800).

10259901504 is an abundant number, since it is smaller than the sum of its proper divisors (21735564096).

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

10259901504 is a wasteful number, since it uses less digits than its factorization.

10259901504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 10259901504 in words is "ten billion, two hundred fifty-nine million, nine hundred one thousand, five hundred four".