11211715002072 has 96 divisors (see below), whose sum is σ = 30356730305280. Its totient is φ = 3449134465920.

The previous prime is 11211715002053. The next prime is 11211715002083. The reversal of 11211715002072 is 27020051711211.

11211715002072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22429893 + ... + 22924299.

It is an arithmetic number, because the mean of its divisors is an integer number (316215940680).

Almost surely, 2^{11211715002072} is an apocalyptic number.

11211715002072 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 11211715002072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178365152640).

11211715002072 is an abundant number, since it is smaller than the sum of its proper divisors (19145015303208).

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

11211715002072 is a wasteful number, since it uses less digits than its factorization.

11211715002072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500033 (or 500016 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 30.

Adding to 11211715002072 its reverse (27020051711211), we get a palindrome (38231766713283).

The spelling of 11211715002072 in words is "eleven trillion, two hundred eleven billion, seven hundred fifteen million, two thousand, seventy-two".