11787821160 has 128 divisors (see below), whose sum is σ = 37927440000. Its totient is φ = 2921757696.

The previous prime is 11787821159. The next prime is 11787821167. The reversal of 11787821160 is 6112878711.

It is not an unprimeable number, because it can be changed into a prime (11787821167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72066 + ... + 169614.

It is an arithmetic number, because the mean of its divisors is an integer number (296308125).

Almost surely, 2^11787821160 is an apocalyptic number.

11787821160 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 11787821160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18963720000).

11787821160 is an abundant number, since it is smaller than the sum of its proper divisors (26139618840).

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

11787821160 is a wasteful number, since it uses less digits than its factorization.

11787821160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97635 (or 97631 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 42.

The spelling of 11787821160 in words is "eleven billion, seven hundred eighty-seven million, eight hundred twenty-one thousand, one hundred sixty".