11865440700 has 216 divisors, whose sum is σ = 39733581888. Its totient is φ = 2951208960.

The previous prime is 11865440687. The next prime is 11865440723. The reversal of 11865440700 is 704456811.

It is a happy number.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1725469 + ... + 1732331.

It is an arithmetic number, because the mean of its divisors is an integer number (183951768).

Almost surely, 2^11865440700 is an apocalyptic number.

11865440700 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 11865440700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19866790944).

11865440700 is an abundant number, since it is smaller than the sum of its proper divisors (27868141188).

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

11865440700 is a wasteful number, since it uses less digits than its factorization.

11865440700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11865440700 in words is "eleven billion, eight hundred sixty-five million, four hundred forty thousand, seven hundred".