11131970443872 has 384 divisors, whose sum is σ = 32257643378688. Its totient is φ = 3347285606400.

The previous prime is 11131970443859. The next prime is 11131970443931. The reversal of 11131970443872 is 27834407913111.

It is a happy number.

11131970443872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1090188847 + ... + 1090199057.

It is an arithmetic number, because the mean of its divisors is an integer number (84004279632).

Almost surely, 2^{11131970443872} is an apocalyptic number.

11131970443872 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 11131970443872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128821689344).

11131970443872 is an abundant number, since it is smaller than the sum of its proper divisors (21125672934816).

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

11131970443872 is a wasteful number, since it uses less digits than its factorization.

11131970443872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10582 (or 10574 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 11131970443872 in words is "eleven trillion, one hundred thirty-one billion, nine hundred seventy million, four hundred forty-three thousand, eight hundred seventy-two".