21729628267200 has 1008 divisors, whose sum is σ = 92284285856256. Its totient is φ = 4741477171200.

The previous prime is 21729628267189. The next prime is 21729628267213. The reversal of 21729628267200 is 276282692712.

21729628267200 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 9 + 628 + 2 + 6 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1212514240 + ... + 1212532160.

Almost surely, 2^{21729628267200} is an apocalyptic number.

21729628267200 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 21729628267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46142142928128).

21729628267200 is an abundant number, since it is smaller than the sum of its proper divisors (70554657589056).

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

21729628267200 is a wasteful number, since it uses less digits than its factorization.

21729628267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18502 (or 18484 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 21729628267200 in words is "twenty-one trillion, seven hundred twenty-nine billion, six hundred twenty-eight million, two hundred sixty-seven thousand, two hundred".