11631178160 has 80 divisors (see below), whose sum is σ = 31149244416. Its totient is φ = 3956408064.

The previous prime is 11631178157. The next prime is 11631178183. The reversal of 11631178160 is 6187113611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11631178160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10652 + ... + 152891.

Almost surely, 2^11631178160 is an apocalyptic number.

11631178160 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 11631178160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15574622208).

11631178160 is an abundant number, since it is smaller than the sum of its proper divisors (19518066256).

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

11631178160 is a wasteful number, since it uses less digits than its factorization.

11631178160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163690 (or 163684 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 35.

The spelling of 11631178160 in words is "eleven billion, six hundred thirty-one million, one hundred seventy-eight thousand, one hundred sixty".