22820042234880 has 880 divisors, whose sum is σ = 91619849303136. Its totient is φ = 5382574571520.

The previous prime is 22820042234777. The next prime is 22820042234881. The reversal of 22820042234880 is 8843224002822.

22820042234880 is a `hidden beast` number, since 2 + 2 + 8 + 200 + 4 + 22 + 348 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×22820042234880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22820042234881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 168723442 + ... + 168858638.

Almost surely, 2^{22820042234880} is an apocalyptic number.

22820042234880 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 22820042234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45809924651568).

22820042234880 is an abundant number, since it is smaller than the sum of its proper divisors (68799807068256).

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

22820042234880 is a wasteful number, since it uses less digits than its factorization.

22820042234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135282 (or 135255 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 22820042234880 in words is "twenty-two trillion, eight hundred twenty billion, forty-two million, two hundred thirty-four thousand, eight hundred eighty".