21072238387200 has 5376 divisors, whose sum is σ = 107465601761280. Its totient is φ = 3955831603200.

The previous prime is 21072238387171. The next prime is 21072238387217. The reversal of 21072238387200 is 278383227012.

21072238387200 is a `hidden beast` number, since 2 + 10 + 7 + 2 + 238 + 387 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 448345497577 + ... + 448345497623.

It is an arithmetic number, because the mean of its divisors is an integer number (19989881280).

Almost surely, 2^{21072238387200} is an apocalyptic number.

21072238387200 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 21072238387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53732800880640).

21072238387200 is an abundant number, since it is smaller than the sum of its proper divisors (86393363374080).

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

21072238387200 is an equidigital number, since it uses as much as digits as its factorization.

21072238387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 21072238387200 in words is "twenty-one trillion, seventy-two billion, two hundred thirty-eight million, three hundred eighty-seven thousand, two hundred".