21850804483200 has 1152 divisors, whose sum is σ = 98210810355840. Its totient is φ = 4493574144000.

The previous prime is 21850804483187. The next prime is 21850804483231. The reversal of 21850804483200 is 238440805812.

21850804483200 is a `hidden beast` number, since 2 + 1 + 8 + 508 + 0 + 44 + 83 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 215056410 + ... + 215157990.

It is an arithmetic number, because the mean of its divisors is an integer number (85252439545).

Almost surely, 2^{21850804483200} is an apocalyptic number.

21850804483200 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 21850804483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49105405177920).

21850804483200 is an abundant number, since it is smaller than the sum of its proper divisors (76360005872640).

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

21850804483200 is a wasteful number, since it uses less digits than its factorization.

21850804483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101726 (or 101706 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 21850804483200 in words is "twenty-one trillion, eight hundred fifty billion, eight hundred four million, four hundred eighty-three thousand, two hundred".