21534244243512 has 1024 divisors, whose sum is σ = 78103388160000. Its totient is φ = 4767743877120.

The previous prime is 21534244243471. The next prime is 21534244243529.

21534244243512 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1520880289 + ... + 1520894447.

It is an arithmetic number, because the mean of its divisors is an integer number (76272840000).

Almost surely, 2^{21534244243512} is an apocalyptic number.

21534244243512 is a gapful number since it is divisible by the number (22) 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 21534244243512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39051694080000).

21534244243512 is an abundant number, since it is smaller than the sum of its proper divisors (56569143916488).

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

21534244243512 is a wasteful number, since it uses less digits than its factorization.

21534244243512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14324 (or 14320 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 2153424 and 4243512, that added together give a palindrome (6396936).

The spelling of 21534244243512 in words is "twenty-one trillion, five hundred thirty-four billion, two hundred forty-four million, two hundred forty-three thousand, five hundred twelve".