21438024107760 has 640 divisors, whose sum is σ = 81933568416000. Its totient is φ = 5119409848320.

The previous prime is 21438024107741. The next prime is 21438024107771. The reversal of 21438024107760 is 6770142083412.

21438024107760 is a `hidden beast` number, since 21 + 4 + 380 + 241 + 0 + 7 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124954516 + ... + 125125964.

It is an arithmetic number, because the mean of its divisors is an integer number (128021200650).

Almost surely, 2^{21438024107760} is an apocalyptic number.

21438024107760 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 21438024107760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40966784208000).

21438024107760 is an abundant number, since it is smaller than the sum of its proper divisors (60495544308240).

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

21438024107760 is a wasteful number, since it uses less digits than its factorization.

21438024107760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171618 (or 171606 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 21438024107760 in words is "twenty-one trillion, four hundred thirty-eight billion, twenty-four million, one hundred seven thousand, seven hundred sixty".