21872340832608 has 288 divisors, whose sum is σ = 74727737150976. Its totient is φ = 6163633087488.

The previous prime is 21872340832603. The next prime is 21872340832619. The reversal of 21872340832608 is 80623804327812.

21872340832608 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 23 + 4 + 0 + 8 + 3 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21872340832603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1221285 + ... + 6725787.

It is an arithmetic number, because the mean of its divisors is an integer number (259471309552).

Almost surely, 2^{21872340832608} is an apocalyptic number.

21872340832608 is a gapful number since it is divisible by the number (28) 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 21872340832608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37363868575488).

21872340832608 is an abundant number, since it is smaller than the sum of its proper divisors (52855396318368).

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

21872340832608 is an equidigital number, since it uses as much as digits as its factorization.

21872340832608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504608 (or 5504588 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 21872340832608 in words is "twenty-one trillion, eight hundred seventy-two billion, three hundred forty million, eight hundred thirty-two thousand, six hundred eight".