22169364672000 has 1280 divisors, whose sum is σ = 91113768345600. Its totient is φ = 4657043865600.

The previous prime is 22169364671981. The next prime is 22169364672017. The reversal of 22169364672000 is 27646396122.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4175805346 + ... + 4175810654.

It is an arithmetic number, because the mean of its divisors is an integer number (71182631520).

Almost surely, 2^{22169364672000} is an apocalyptic number.

22169364672000 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 22169364672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45556884172800).

22169364672000 is an abundant number, since it is smaller than the sum of its proper divisors (68944403673600).

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

22169364672000 is a wasteful number, since it uses less digits than its factorization.

22169364672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 22169364672000 in words is "twenty-two trillion, one hundred sixty-nine billion, three hundred sixty-four million, six hundred seventy-two thousand".