11819680992 has 144 divisors (see below), whose sum is σ = 39653332992. Its totient is φ = 3268097280.

The previous prime is 11819680963. The next prime is 11819680993. The reversal of 11819680992 is 29908691811.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11819680992² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11819680993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32068 + ... + 157059.

It is an arithmetic number, because the mean of its divisors is an integer number (275370368).

Almost surely, 2^11819680992 is an apocalyptic number.

11819680992 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 11819680992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19826666496).

11819680992 is an abundant number, since it is smaller than the sum of its proper divisors (27833652000).

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

11819680992 is a wasteful number, since it uses less digits than its factorization.

11819680992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189181 (or 189170 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 11819680992 in words is "eleven billion, eight hundred nineteen million, six hundred eighty thousand, nine hundred ninety-two".