22025835610688 has 224 divisors, whose sum is σ = 57137973225984. Its totient is φ = 8175075360768.

The previous prime is 22025835610657. The next prime is 22025835610693. The reversal of 22025835610688 is 88601653852022.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31034645 + ... + 31736427.

It is an arithmetic number, because the mean of its divisors is an integer number (255080237616).

Almost surely, 2^{22025835610688} is an apocalyptic number.

22025835610688 is a gapful number since it is divisible by the number (28) 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 22025835610688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28568986612992).

22025835610688 is an abundant number, since it is smaller than the sum of its proper divisors (35112137615296).

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

22025835610688 is a wasteful number, since it uses less digits than its factorization.

22025835610688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702149 (or 702139 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 56.

The spelling of 22025835610688 in words is "twenty-two trillion, twenty-five billion, eight hundred thirty-five million, six hundred ten thousand, six hundred eighty-eight".