11075240692160 has 224 divisors, whose sum is σ = 27524336112000. Its totient is φ = 4241344757760.

The previous prime is 11075240692147. The next prime is 11075240692163. The reversal of 11075240692160 is 6129604257011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11075240692163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190565186 + ... + 190623294.

It is an arithmetic number, because the mean of its divisors is an integer number (122876500500).

Almost surely, 2^{11075240692160} is an apocalyptic number.

11075240692160 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 11075240692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13762168056000).

11075240692160 is an abundant number, since it is smaller than the sum of its proper divisors (16449095419840).

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

11075240692160 is a wasteful number, since it uses less digits than its factorization.

11075240692160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58439 (or 58429 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 11075240692160 in words is "eleven trillion, seventy-five billion, two hundred forty million, six hundred ninety-two thousand, one hundred sixty".