11688895670760 has 4032 divisors, whose sum is σ = 55250605161360. Its totient is φ = 2207239372800.

The previous prime is 11688895670701. The next prime is 11688895670791. The reversal of 11688895670760 is 6707659888611.

It can be written as a sum of positive squares in 8 ways, for example, as 3241490571396 + 8447405099364 = 1800414^2 + 2906442^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 120504079032 + ... + 120504079128.

Almost surely, 2^{11688895670760} is an apocalyptic number.

11688895670760 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 11688895670760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27625302580680).

11688895670760 is an abundant number, since it is smaller than the sum of its proper divisors (43561709490600).

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

11688895670760 is a wasteful number, since it uses less digits than its factorization.

11688895670760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 11688895670760 in words is "eleven trillion, six hundred eighty-eight billion, eight hundred ninety-five million, six hundred seventy thousand, seven hundred sixty".