21973547635200 has 2880 divisors, whose sum is σ = 99932300709120. Its totient is φ = 4630071214080.

The previous prime is 21973547635157. The next prime is 21973547635213. The reversal of 21973547635200 is 253674537912.

21973547635200 is a `hidden beast` number, since 2 + 1 + 9 + 7 + 3 + 54 + 7 + 63 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37054886104 + ... + 37054886696.

It is an arithmetic number, because the mean of its divisors is an integer number (34698715524).

Almost surely, 2^{21973547635200} is an apocalyptic number.

21973547635200 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 21973547635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49966150354560).

21973547635200 is an abundant number, since it is smaller than the sum of its proper divisors (77958753073920).

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

21973547635200 is a wasteful number, since it uses less digits than its factorization.

21973547635200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 21973547635200 in words is "twenty-one trillion, nine hundred seventy-three billion, five hundred forty-seven million, six hundred thirty-five thousand, two hundred".