20002189107264 has 448 divisors, whose sum is σ = 68786302685184. Its totient is φ = 4985138847744.

The previous prime is 20002189107239. The next prime is 20002189107283. The reversal of 20002189107264 is 46270198120002.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×20002189107264² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33054202 + ... + 33653894.

It is an arithmetic number, because the mean of its divisors is an integer number (153540854208).

Almost surely, 2^{20002189107264} is an apocalyptic number.

20002189107264 is a gapful number since it is divisible by the number (24) 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 20002189107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34393151342592).

20002189107264 is an abundant number, since it is smaller than the sum of its proper divisors (48784113577920).

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

20002189107264 is a wasteful number, since it uses less digits than its factorization.

20002189107264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599834 (or 599824 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 20002189107264 in words is "twenty trillion, two billion, one hundred eighty-nine million, one hundred seven thousand, two hundred sixty-four".