22098059642880 has 768 divisors, whose sum is σ = 85163944320000. Its totient is φ = 5402884571136.

The previous prime is 22098059642801. The next prime is 22098059642887. The reversal of 22098059642880 is 8824695089022.

22098059642880 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 80 + 59 + 6 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (22098059642887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535521129 + ... + 535562391.

It is an arithmetic number, because the mean of its divisors is an integer number (110890552500).

Almost surely, 2^{22098059642880} is an apocalyptic number.

22098059642880 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 22098059642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42581972160000).

22098059642880 is an abundant number, since it is smaller than the sum of its proper divisors (63065884677120).

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

22098059642880 is a wasteful number, since it uses less digits than its factorization.

22098059642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41461 (or 41435 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 22098059642880 in words is "twenty-two trillion, ninety-eight billion, fifty-nine million, six hundred forty-two thousand, eight hundred eighty".