21912520881300 has 864 divisors, whose sum is σ = 80289621135360. Its totient is φ = 4583174400000.

The previous prime is 21912520881259. The next prime is 21912520881313. The reversal of 21912520881300 is 318802521912.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 5203636195 + ... + 5203640405.

It is an arithmetic number, because the mean of its divisors is an integer number (92927802240).

Almost surely, 2^{21912520881300} is an apocalyptic number.

21912520881300 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 21912520881300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40144810567680).

21912520881300 is an abundant number, since it is smaller than the sum of its proper divisors (58377100254060).

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

21912520881300 is a wasteful number, since it uses less digits than its factorization.

21912520881300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4893 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 21912520881300 in words is "twenty-one trillion, nine hundred twelve billion, five hundred twenty million, eight hundred eighty-one thousand, three hundred".