21269727027360 has 960 divisors, whose sum is σ = 89983334149632. Its totient is φ = 4626093441024.

The previous prime is 21269727027331. The next prime is 21269727027371. The reversal of 21269727027360 is 6372072796212.

It is a happy number.

21269727027360 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 9 + 7 + 270 + 2 + 7 + 360 = 666.

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 = 21269727027297 and 21269727027306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 402679672 + ... + 402732488.

Almost surely, 2^{21269727027360} is an apocalyptic number.

21269727027360 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 21269727027360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44991667074816).

21269727027360 is an abundant number, since it is smaller than the sum of its proper divisors (68713607122272).

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

21269727027360 is a wasteful number, since it uses less digits than its factorization.

21269727027360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53067 (or 53050 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 21269727027360 in words is "twenty-one trillion, two hundred sixty-nine billion, seven hundred twenty-seven million, twenty-seven thousand, three hundred sixty".