21804060751200 has 2880 divisors, whose sum is σ = 104504641274880. Its totient is φ = 4295337984000.

The previous prime is 21804060751163. The next prime is 21804060751201. The reversal of 21804060751200 is 215706040812.

21804060751200 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 40 + 607 + 5 + 1 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21804060751201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7954781830 + ... + 7954784570.

It is an arithmetic number, because the mean of its divisors is an integer number (36286333776).

Almost surely, 2^{21804060751200} is an apocalyptic number.

21804060751200 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 21804060751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52252320637440).

21804060751200 is an abundant number, since it is smaller than the sum of its proper divisors (82700580523680).

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

21804060751200 is a wasteful number, since it uses less digits than its factorization.

21804060751200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 21804060751200 in words is "twenty-one trillion, eight hundred four billion, sixty million, seven hundred fifty-one thousand, two hundred".