21672126927360 has 2880 divisors, whose sum is σ = 98454561004800. Its totient is φ = 4564972339200.

The previous prime is 21672126927343. The next prime is 21672126927377. The reversal of 21672126927360 is 6372962127612.

21672126927360 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 212 + 69 + 2 + 7 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (21672126927343) and next prime (21672126927377).

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a junction number, because it is equal to n+sod(n) for n = 21672126927297 and 21672126927306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36060111060 + ... + 36060111660.

It is an arithmetic number, because the mean of its divisors is an integer number (34185611460).

Almost surely, 2^{21672126927360} is an apocalyptic number.

21672126927360 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 21672126927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49227280502400).

21672126927360 is an abundant number, since it is smaller than the sum of its proper divisors (76782434077440).

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

21672126927360 is an frugal number, since it uses more digits than its factorization.

21672126927360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 21672126927360 in words is "twenty-one trillion, six hundred seventy-two billion, one hundred twenty-six million, nine hundred twenty-seven thousand, three hundred sixty".