21459521069140 has 384 divisors, whose sum is σ = 59400796815360. Its totient is φ = 6313788518400.

The previous prime is 21459521069087. The next prime is 21459521069149. The reversal of 21459521069140 is 4196012595412.

It is a happy number.

It is a super-2 number, since 2×21459521069140² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21459521069149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1705431289 + ... + 1705443871.

It is an arithmetic number, because the mean of its divisors is an integer number (154689575040).

Almost surely, 2^{21459521069140} is an apocalyptic number.

21459521069140 is a gapful number since it is divisible by the number (20) 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 21459521069140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29700398407680).

21459521069140 is an abundant number, since it is smaller than the sum of its proper divisors (37941275746220).

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

21459521069140 is a wasteful number, since it uses less digits than its factorization.

21459521069140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13263 (or 13261 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 21459521069140 in words is "twenty-one trillion, four hundred fifty-nine billion, five hundred twenty-one million, sixty-nine thousand, one hundred forty".