11092981831680 has 2304 divisors, whose sum is σ = 45654181372800. Its totient is φ = 2283043553280.

The previous prime is 11092981831621. The next prime is 11092981831709. The reversal of 11092981831680 is 8613818929011.

It is a self number, because there is not a number n which added to its sum of digits gives 11092981831680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101770475466 + ... + 101770475574.

Almost surely, 2^{11092981831680} is an apocalyptic number.

11092981831680 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 11092981831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22827090686400).

11092981831680 is an abundant number, since it is smaller than the sum of its proper divisors (34561199541120).

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

11092981831680 is a wasteful number, since it uses less digits than its factorization.

11092981831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 57.

The spelling of 11092981831680 in words is "eleven trillion, ninety-two billion, nine hundred eighty-one million, eight hundred thirty-one thousand, six hundred eighty".