11159681008392 has 768 divisors, whose sum is σ = 37543274496000. Its totient is φ = 2987085911040.

The previous prime is 11159681008367. The next prime is 11159681008393. The reversal of 11159681008392 is 29380018695111.

It is a happy number.

11159681008392 is a `hidden beast` number, since 1 + 1 + 1 + 596 + 8 + 10 + 0 + 8 + 39 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (11159681008393) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6734870028 + ... + 6734871684.

It is an arithmetic number, because the mean of its divisors is an integer number (48884472000).

Almost surely, 2^{11159681008392} is an apocalyptic number.

11159681008392 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 11159681008392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18771637248000).

11159681008392 is an abundant number, since it is smaller than the sum of its proper divisors (26383593487608).

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

11159681008392 is a wasteful number, since it uses less digits than its factorization.

11159681008392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 11159681008392 in words is "eleven trillion, one hundred fifty-nine billion, six hundred eighty-one million, eight thousand, three hundred ninety-two".