21133025971200 has 5280 divisors, whose sum is σ = 100719600199680. Its totient is φ = 4335648768000.

The previous prime is 21133025971199. The next prime is 21133025971259. The reversal of 21133025971200 is 217952033112.

It is a happy number.

21133025971200 is a `hidden beast` number, since 2 + 1 + 1 + 330 + 2 + 59 + 71 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 681710515185 + ... + 681710515215.

It is an arithmetic number, because the mean of its divisors is an integer number (19075681856).

Almost surely, 2^{21133025971200} is an apocalyptic number.

21133025971200 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 21133025971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50359800099840).

21133025971200 is an abundant number, since it is smaller than the sum of its proper divisors (79586574228480).

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

21133025971200 is a wasteful number, since it uses less digits than its factorization.

21133025971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 21133025971200 in words is "twenty-one trillion, one hundred thirty-three billion, twenty-five million, nine hundred seventy-one thousand, two hundred".