22117525677040 has 80 divisors (see below), whose sum is σ = 52300844004960. Its totient is φ = 8696060380160.

The previous prime is 22117525677017. The next prime is 22117525677047. The reversal of 22117525677040 is 4077652571122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22117525677047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41445510 + ... + 41975770.

It is an arithmetic number, because the mean of its divisors is an integer number (653760550062).

Almost surely, 2^{22117525677040} is an apocalyptic number.

22117525677040 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 22117525677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26150422002480).

22117525677040 is an abundant number, since it is smaller than the sum of its proper divisors (30183318327920).

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

22117525677040 is a wasteful number, since it uses less digits than its factorization.

22117525677040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539170 (or 539164 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 49.

The spelling of 22117525677040 in words is "twenty-two trillion, one hundred seventeen billion, five hundred twenty-five million, six hundred seventy-seven thousand, forty".