21380033971200 has 2112 divisors, whose sum is σ = 79582266408960. Its totient is φ = 5043388416000.

The previous prime is 21380033971181. The next prime is 21380033971213. The reversal of 21380033971200 is 217933008312.

It is a super-3 number, since 3×21380033971200³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 199813401547 + ... + 199813401653.

Almost surely, 2^{21380033971200} is an apocalyptic number.

21380033971200 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 21380033971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39791133204480).

21380033971200 is an abundant number, since it is smaller than the sum of its proper divisors (58202232437760).

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

21380033971200 is a wasteful number, since it uses less digits than its factorization.

21380033971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

Adding to 21380033971200 its reverse (217933008312), we get a palindrome (21597966979512).

The spelling of 21380033971200 in words is "twenty-one trillion, three hundred eighty billion, thirty-three million, nine hundred seventy-one thousand, two hundred".