21542488424512 has 112 divisors (see below), whose sum is σ = 46742802120000. Its totient is φ = 9769331496960.

The previous prime is 21542488424489. The next prime is 21542488424537.

21542488424512 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 21542488424512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1401312058 + ... + 1401327430.

It is an arithmetic number, because the mean of its divisors is an integer number (417346447500).

Almost surely, 2^{21542488424512} is an apocalyptic number.

21542488424512 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 21542488424512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23371401060000).

21542488424512 is an abundant number, since it is smaller than the sum of its proper divisors (25200313695488).

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

21542488424512 is a wasteful number, since it uses less digits than its factorization.

21542488424512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19884 (or 19874 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 52.

The spelling of 21542488424512 in words is "twenty-one trillion, five hundred forty-two billion, four hundred eighty-eight million, four hundred twenty-four thousand, five hundred twelve".