22016237633280 has 2016 divisors, whose sum is σ = 92008844928000. Its totient is φ = 4988862627840.

The previous prime is 22016237633263. The next prime is 22016237633281. The reversal of 22016237633280 is 8233673261022.

22016237633280 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 6 + 2 + 3 + 7 + 633 + 2 + 8 + 0 = 666.

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 (22016237633281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 15406743606 + ... + 15406745034.

It is an arithmetic number, because the mean of its divisors is an integer number (45639308000).

Almost surely, 2^{22016237633280} is an apocalyptic number.

22016237633280 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 22016237633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46004422464000).

22016237633280 is an abundant number, since it is smaller than the sum of its proper divisors (69992607294720).

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

22016237633280 is a wasteful number, since it uses less digits than its factorization.

22016237633280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 22016237633280 in words is "twenty-two trillion, sixteen billion, two hundred thirty-seven million, six hundred thirty-three thousand, two hundred eighty".