11865087360 has 768 divisors, whose sum is σ = 49772491200. Its totient is φ = 2696343552.

The previous prime is 11865087337. The next prime is 11865087373. The reversal of 11865087360 is 6378056811.

11865087360 is a `hidden beast` number, since 1 + 1 + 86 + 508 + 7 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68584234 + ... + 68584406.

Almost surely, 2^11865087360 is an apocalyptic number.

11865087360 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 11865087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24886245600).

11865087360 is an abundant number, since it is smaller than the sum of its proper divisors (37907403840).

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

11865087360 is an frugal number, since it uses more digits than its factorization.

11865087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11865087360 in words is "eleven billion, eight hundred sixty-five million, eighty-seven thousand, three hundred sixty".