11688586800 has 240 divisors, whose sum is σ = 41798241408. Its totient is φ = 2767564800.

The previous prime is 11688586799. The next prime is 11688586807. The reversal of 11688586800 is 868588611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11688586800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11688586807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557304 + ... + 577896.

Almost surely, 2^11688586800 is an apocalyptic number.

11688586800 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 11688586800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20899120704).

11688586800 is an abundant number, since it is smaller than the sum of its proper divisors (30109654608).

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

11688586800 is a wasteful number, since it uses less digits than its factorization.

11688586800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20668 (or 20657 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 51.

The spelling of 11688586800 in words is "eleven billion, six hundred eighty-eight million, five hundred eighty-six thousand, eight hundred".