21458407505920 has 480 divisors, whose sum is σ = 64448111056896. Its totient is φ = 6663123763200.

The previous prime is 21458407505897. The next prime is 21458407505929. The reversal of 21458407505920 is 2950570485412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21458407505929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1709418364 + ... + 1709430916.

Almost surely, 2^{21458407505920} is an apocalyptic number.

21458407505920 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 21458407505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32224055528448).

21458407505920 is an abundant number, since it is smaller than the sum of its proper divisors (42989703550976).

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

21458407505920 is a wasteful number, since it uses less digits than its factorization.

21458407505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12875 (or 12849 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 52.

The spelling of 21458407505920 in words is "twenty-one trillion, four hundred fifty-eight billion, four hundred seven million, five hundred five thousand, nine hundred twenty".