21266729254080 has 448 divisors, whose sum is σ = 77632285680000. Its totient is φ = 5474094022656.

The previous prime is 21266729254079. The next prime is 21266729254093. The reversal of 21266729254080 is 8045292766212.

21266729254080 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 6 + 7 + 2 + 92 + 540 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1164844312 + ... + 1164862568.

Almost surely, 2^{21266729254080} is an apocalyptic number.

21266729254080 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 21266729254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38816142840000).

21266729254080 is an abundant number, since it is smaller than the sum of its proper divisors (56365556425920).

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

21266729254080 is a wasteful number, since it uses less digits than its factorization.

21266729254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22961 (or 22945 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 21266729254080 in words is "twenty-one trillion, two hundred sixty-six billion, seven hundred twenty-nine million, two hundred fifty-four thousand, eighty".