11811074144520 has 384 divisors, whose sum is σ = 41641448423040. Its totient is φ = 2672022528000.

The previous prime is 11811074144489. The next prime is 11811074144531. The reversal of 11811074144520 is 2544147011811.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487022395 + ... + 487046645.

It is an arithmetic number, because the mean of its divisors is an integer number (108441271935).

Almost surely, 2^{11811074144520} is an apocalyptic number.

11811074144520 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 11811074144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20820724211520).

11811074144520 is an abundant number, since it is smaller than the sum of its proper divisors (29830374278520).

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

11811074144520 is a wasteful number, since it uses less digits than its factorization.

11811074144520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25125 (or 25114 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The spelling of 11811074144520 in words is "eleven trillion, eight hundred eleven billion, seventy-four million, one hundred forty-four thousand, five hundred twenty".