21192250060800 has 3744 divisors, whose sum is σ = 99377772748800. Its totient is φ = 4447921766400.

The previous prime is 21192250060789. The next prime is 21192250060829. The reversal of 21192250060800 is 806005229112.

21192250060800 is a `hidden beast` number, since 2 + 1 + 1 + 92 + 2 + 500 + 60 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-2 number, since 2×21192250060800² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 110954188705 + ... + 110954188895.

Almost surely, 2^{21192250060800} is an apocalyptic number.

21192250060800 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 21192250060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49688886374400).

21192250060800 is an abundant number, since it is smaller than the sum of its proper divisors (78185522688000).

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

21192250060800 is an equidigital number, since it uses as much as digits as its factorization.

21192250060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 21192250060800 its reverse (806005229112), we get a palindrome (21998255289912).

The spelling of 21192250060800 in words is "twenty-one trillion, one hundred ninety-two billion, two hundred fifty million, sixty thousand, eight hundred".