11688706260 has 576 divisors, whose sum is σ = 47420964864. Its totient is φ = 2258150400.

The previous prime is 11688706241. The next prime is 11688706279. The reversal of 11688706260 is 6260788611.

It is a happy number.

11688706260 is a `hidden beast` number, since 1 + 16 + 8 + 8 + 7 + 0 + 626 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11688706241) and next prime (11688706279).

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 191 ways as a sum of consecutive naturals, for example, 11794365 + ... + 11795355.

It is an arithmetic number, because the mean of its divisors is an integer number (82328064).

Almost surely, 2^11688706260 is an apocalyptic number.

11688706260 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 11688706260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710482432).

11688706260 is an abundant number, since it is smaller than the sum of its proper divisors (35732258604).

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

11688706260 is a wasteful number, since it uses less digits than its factorization.

11688706260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

11688706260 divided by its sum of digits (45) gives a triangular number (259749028 = T₂₂₇₉₂).

The spelling of 11688706260 in words is "eleven billion, six hundred eighty-eight million, seven hundred six thousand, two hundred sixty".