11865918960 has 640 divisors, whose sum is σ = 49282560000. Its totient is φ = 2565623808.

The previous prime is 11865918959. The next prime is 11865918997. The reversal of 11865918960 is 6981956811.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11865918897 and 11865918906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51816126 + ... + 51816354.

It is an arithmetic number, because the mean of its divisors is an integer number (77004000).

Almost surely, 2^11865918960 is an apocalyptic number.

11865918960 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 11865918960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24641280000).

11865918960 is an abundant number, since it is smaller than the sum of its proper divisors (37416641040).

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

11865918960 is a wasteful number, since it uses less digits than its factorization.

11865918960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 11865918960 in words is "eleven billion, eight hundred sixty-five million, nine hundred eighteen thousand, nine hundred sixty".