22005830891520 has 3072 divisors, whose sum is σ = 96767903232000. Its totient is φ = 4637432217600.

The previous prime is 22005830891489. The next prime is 22005830891591. The reversal of 22005830891520 is 2519803850022.

22005830891520 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 5 + 8 + 30 + 8 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 167983441855 + ... + 167983441985.

It is an arithmetic number, because the mean of its divisors is an integer number (31499968500).

Almost surely, 2^{22005830891520} is an apocalyptic number.

22005830891520 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 22005830891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48383951616000).

22005830891520 is an abundant number, since it is smaller than the sum of its proper divisors (74762072340480).

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

22005830891520 is a wasteful number, since it uses less digits than its factorization.

22005830891520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 22005830891520 in words is "twenty-two trillion, five billion, eight hundred thirty million, eight hundred ninety-one thousand, five hundred twenty".