11691192240 has 960 divisors, whose sum is σ = 52365398400. Its totient is φ = 2373525504.

The previous prime is 11691192239. The next prime is 11691192251. The reversal of 11691192240 is 4229119611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11691192195 and 11691192204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39901534 + ... + 39901826.

It is an arithmetic number, because the mean of its divisors is an integer number (54547290).

Almost surely, 2^11691192240 is an apocalyptic number.

11691192240 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 11691192240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26182699200).

11691192240 is an abundant number, since it is smaller than the sum of its proper divisors (40674206160).

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

11691192240 is a wasteful number, since it uses less digits than its factorization.

11691192240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11691192240 in words is "eleven billion, six hundred ninety-one million, one hundred ninety-two thousand, two hundred forty".