10013587760 has 160 divisors (see below), whose sum is σ = 26304030720. Its totient is φ = 3512217600.

The previous prime is 10013587747. The next prime is 10013587781. The reversal of 10013587760 is 6778531001.

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, 16176731 + ... + 16177349.

It is an arithmetic number, because the mean of its divisors is an integer number (164400192).

Almost surely, 2^10013587760 is an apocalyptic number.

10013587760 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 10013587760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152015360).

10013587760 is an abundant number, since it is smaller than the sum of its proper divisors (16290442960).

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

10013587760 is a wasteful number, since it uses less digits than its factorization.

10013587760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 10013587760 in words is "ten billion, thirteen million, five hundred eighty-seven thousand, seven hundred sixty".