11650907160 has 448 divisors, whose sum is σ = 43841541600. Its totient is φ = 2768007168.

The previous prime is 11650907153. The next prime is 11650907197. The reversal of 11650907160 is 6170905611.

It is a happy number.

11650907160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9418062 + ... + 9419298.

Almost surely, 2^11650907160 is an apocalyptic number.

11650907160 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 11650907160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21920770800).

11650907160 is an abundant number, since it is smaller than the sum of its proper divisors (32190634440).

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

11650907160 is a wasteful number, since it uses less digits than its factorization.

11650907160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 11650907160 in words is "eleven billion, six hundred fifty million, nine hundred seven thousand, one hundred sixty".