10013610716160 has 704 divisors, whose sum is σ = 34419941452800. Its totient is φ = 2475845222400.

The previous prime is 10013610716159. The next prime is 10013610716231. The reversal of 10013610716160 is 6161701631001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5560027260 + ... + 5560029060.

Almost surely, 2^{10013610716160} is an apocalyptic number.

10013610716160 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 10013610716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209970726400).

10013610716160 is an abundant number, since it is smaller than the sum of its proper divisors (24406330736640).

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

10013610716160 is a wasteful number, since it uses less digits than its factorization.

10013610716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 10013610716160 in words is "ten trillion, thirteen billion, six hundred ten million, seven hundred sixteen thousand, one hundred sixty".