22140352080 has 720 divisors, whose sum is σ = 97898359104. Its totient is φ = 4598415360.

The previous prime is 22140352079. The next prime is 22140352097. The reversal of 22140352080 is 8025304122.

22140352080 is a `hidden beast` number, since 2 + 21 + 40 + 3 + 520 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10477104 + ... + 10479216.

Almost surely, 2^22140352080 is an apocalyptic number.

22140352080 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 22140352080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48949179552).

22140352080 is an abundant number, since it is smaller than the sum of its proper divisors (75758007024).

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

22140352080 is a wasteful number, since it uses less digits than its factorization.

22140352080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 22140352080 in words is "twenty-two billion, one hundred forty million, three hundred fifty-two thousand, eighty".