11650017160 has 64 divisors (see below), whose sum is σ = 26877478320. Its totient is φ = 4542013440.

The previous prime is 11650017157. The next prime is 11650017163. The reversal of 11650017160 is 6171005611.

It is an interprime number because it is at equal distance from previous prime (11650017157) and next prime (11650017163).

It can be written as a sum of positive squares in 8 ways, for example, as 9930919716 + 1719097444 = 99654^2 + 41462^2 .

It is a super-3 number, since 3×11650017160³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11650017163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2124342 + ... + 2129818.

Almost surely, 2^11650017160 is an apocalyptic number.

11650017160 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 11650017160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13438739160).

11650017160 is an abundant number, since it is smaller than the sum of its proper divisors (15227461160).

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

11650017160 is a wasteful number, since it uses less digits than its factorization.

11650017160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 28.

The spelling of 11650017160 in words is "eleven billion, six hundred fifty million, seventeen thousand, one hundred sixty".