11023630072512 has 168 divisors, whose sum is σ = 30856118932800. Its totient is φ = 3472828964352.

The previous prime is 11023630072453. The next prime is 11023630072513. The reversal of 11023630072512 is 21527003632011.

It is not an unprimeable number, because it can be changed into a prime (11023630072513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28851939 + ... + 29231517.

It is an arithmetic number, because the mean of its divisors is an integer number (183667374600).

Almost surely, 2^{11023630072512} is an apocalyptic number.

11023630072512 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 11023630072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15428059466400).

11023630072512 is an abundant number, since it is smaller than the sum of its proper divisors (19832488860288).

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

11023630072512 is a wasteful number, since it uses less digits than its factorization.

11023630072512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380051 (or 380022 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 11023630072512 in words is "eleven trillion, twenty-three billion, six hundred thirty million, seventy-two thousand, five hundred twelve".