21598222060800 has 2160 divisors, whose sum is σ = 100100926464000. Its totient is φ = 4463747481600.

The previous prime is 21598222060799. The next prime is 21598222060813. The reversal of 21598222060800 is 806022289512.

21598222060800 is a `hidden beast` number, since 2 + 15 + 9 + 8 + 2 + 2 + 20 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7943441841 + ... + 7943444559.

Almost surely, 2^{21598222060800} is an apocalyptic number.

21598222060800 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 21598222060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50050463232000).

21598222060800 is an abundant number, since it is smaller than the sum of its proper divisors (78502704403200).

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

21598222060800 is a wasteful number, since it uses less digits than its factorization.

21598222060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 21598222060800 in words is "twenty-one trillion, five hundred ninety-eight billion, two hundred twenty-two million, sixty thousand, eight hundred".