11142679680 has 768 divisors, whose sum is σ = 45214070400. Its totient is φ = 2571264000.

The previous prime is 11142679679. The next prime is 11142679693. The reversal of 11142679680 is 8697624111.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182666850 + ... + 182666910.

Almost surely, 2^11142679680 is an apocalyptic number.

11142679680 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 11142679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22607035200).

11142679680 is an abundant number, since it is smaller than the sum of its proper divisors (34071390720).

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

11142679680 is a wasteful number, since it uses less digits than its factorization.

11142679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11142679680 in words is "eleven billion, one hundred forty-two million, six hundred seventy-nine thousand, six hundred eighty".