22192956989280 has 1728 divisors, whose sum is σ = 97485935339520. Its totient is φ = 4498308587520.

The previous prime is 22192956989279. The next prime is 22192956989293. The reversal of 22192956989280 is 8298965929122.

22192956989280 is a `hidden beast` number, since 2 + 2 + 19 + 29 + 569 + 8 + 9 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 22192956989199 and 22192956989208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26770755906 + ... + 26770756734.

It is an arithmetic number, because the mean of its divisors is an integer number (56415471840).

Almost surely, 2^{22192956989280} is an apocalyptic number.

22192956989280 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 22192956989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48742967669760).

22192956989280 is an abundant number, since it is smaller than the sum of its proper divisors (75292978350240).

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

22192956989280 is a wasteful number, since it uses less digits than its factorization.

22192956989280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 22192956989280 in words is "twenty-two trillion, one hundred ninety-two billion, nine hundred fifty-six million, nine hundred eighty-nine thousand, two hundred eighty".