22142149585920 has 1056 divisors, whose sum is σ = 95402269243008. Its totient is φ = 4623502934016.

The previous prime is 22142149585909. The next prime is 22142149585951. The reversal of 22142149585920 is 2958594124122.

It is a happy number.

22142149585920 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 1 + 49 + 5 + 8 + 592 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406720942 + ... + 406775378.

Almost surely, 2^{22142149585920} is an apocalyptic number.

22142149585920 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 22142149585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47701134621504).

22142149585920 is an abundant number, since it is smaller than the sum of its proper divisors (73260119657088).

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

22142149585920 is a wasteful number, since it uses less digits than its factorization.

22142149585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54585 (or 54564 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 22142149585920 in words is "twenty-two trillion, one hundred forty-two billion, one hundred forty-nine million, five hundred eighty-five thousand, nine hundred twenty".