21999106483200 has 2772 divisors, whose sum is σ = 103801377728592. Its totient is φ = 4571242905600.

The previous prime is 21999106483163. The next prime is 21999106483273. The reversal of 21999106483200 is 238460199912.

21999106483200 is a `hidden beast` number, since 2 + 199 + 91 + 0 + 6 + 48 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2772).

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 (13) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1999918771195 + ... + 1999918771205.

Almost surely, 2^{21999106483200} is an apocalyptic number.

21999106483200 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 21999106483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51900688864296).

21999106483200 is an abundant number, since it is smaller than the sum of its proper divisors (81802271245392).

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

21999106483200 is an frugal number, since it uses more digits than its factorization.

21999106483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 21999106483200 in words is "twenty-one trillion, nine hundred ninety-nine billion, one hundred six million, four hundred eighty-three thousand, two hundred".