10253747460 has 96 divisors (see below), whose sum is σ = 31351017600. Its totient is φ = 2483338240.

The previous prime is 10253747447. The next prime is 10253747477. The reversal of 10253747460 is 6474735201.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 724936 + ... + 738944.

It is an arithmetic number, because the mean of its divisors is an integer number (326573100).

Almost surely, 2^10253747460 is an apocalyptic number.

10253747460 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 10253747460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15675508800).

10253747460 is an abundant number, since it is smaller than the sum of its proper divisors (21097270140).

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

10253747460 is a wasteful number, since it uses less digits than its factorization.

10253747460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15141 (or 15139 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 10253747460 in words is "ten billion, two hundred fifty-three million, seven hundred forty-seven thousand, four hundred sixty".