21028273747200 has 864 divisors, whose sum is σ = 80087554068480. Its totient is φ = 5393135001600.

The previous prime is 21028273747193. The next prime is 21028273747249. The reversal of 21028273747200 is 274737282012.

21028273747200 is a `hidden beast` number, since 2 + 102 + 8 + 2 + 73 + 7 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 873146359 + ... + 873170441.

It is an arithmetic number, because the mean of its divisors is an integer number (92693928320).

Almost surely, 2^{21028273747200} is an apocalyptic number.

21028273747200 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 21028273747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40043777034240).

21028273747200 is an abundant number, since it is smaller than the sum of its proper divisors (59059280321280).

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

21028273747200 is a wasteful number, since it uses less digits than its factorization.

21028273747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24312 (or 24287 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 21028273747200 in words is "twenty-one trillion, twenty-eight billion, two hundred seventy-three million, seven hundred forty-seven thousand, two hundred".