10259348544 has 140 divisors (see below), whose sum is σ = 30653353984. Its totient is φ = 3392637696.

The previous prime is 10259348521. The next prime is 10259348677. The reversal of 10259348544 is 44584395201.

10259348544 is a `hidden beast` number, since 1 + 0 + 2 + 593 + 4 + 8 + 54 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10259348544.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 650577 + ... + 666159.

Almost surely, 2^10259348544 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 10259348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15326676992).

10259348544 is an abundant number, since it is smaller than the sum of its proper divisors (20394005440).

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

10259348544 is a wasteful number, since it uses less digits than its factorization.

10259348544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15734 (or 15715 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 10259348544 in words is "ten billion, two hundred fifty-nine million, three hundred forty-eight thousand, five hundred forty-four".