11655849800 has 96 divisors (see below), whose sum is σ = 31290913920. Its totient is φ = 3955046400.

The previous prime is 11655849797. The next prime is 11655849809. The reversal of 11655849800 is 894855611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11655849809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92885 + ... + 178715.

It is an arithmetic number, because the mean of its divisors is an integer number (325947020).

Almost surely, 2^11655849800 is an apocalyptic number.

11655849800 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 11655849800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15645456960).

11655849800 is an abundant number, since it is smaller than the sum of its proper divisors (19635064120).

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

11655849800 is a wasteful number, since it uses less digits than its factorization.

11655849800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85951 (or 85942 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 47.

The spelling of 11655849800 in words is "eleven billion, six hundred fifty-five million, eight hundred forty-nine thousand, eight hundred".