11192680512 has 336 divisors, whose sum is σ = 36679144320. Its totient is φ = 3234816000.

The previous prime is 11192680483. The next prime is 11192680517. The reversal of 11192680512 is 21508629111.

11192680512 is a `hidden beast` number, since 1 + 119 + 26 + 8 + 0 + 512 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11192680517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21482812 + ... + 21483332.

It is an arithmetic number, because the mean of its divisors is an integer number (109164120).

Almost surely, 2^11192680512 is an apocalyptic number.

11192680512 is a gapful number since it is divisible by the number (12) 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 11192680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339572160).

11192680512 is an abundant number, since it is smaller than the sum of its proper divisors (25486463808).

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

11192680512 is a wasteful number, since it uses less digits than its factorization.

11192680512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11192680512 in words is "eleven billion, one hundred ninety-two million, six hundred eighty thousand, five hundred twelve".