20224375200000 has 1944 divisors, whose sum is σ = 79720862038272. Its totient is φ = 4924800000000.

The previous prime is 20224375199999. The next prime is 20224375200037. The reversal of 20224375200000 is 257342202.

20224375200000 is a `hidden beast` number, since 2 + 0 + 22 + 437 + 5 + 200 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 80575199875 + ... + 80575200125.

It is an arithmetic number, because the mean of its divisors is an integer number (41008673888).

Almost surely, 2^{20224375200000} is an apocalyptic number.

20224375200000 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 20224375200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39860431019136).

20224375200000 is an abundant number, since it is smaller than the sum of its proper divisors (59496486838272).

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

20224375200000 is an equidigital number, since it uses as much as digits as its factorization.

20224375200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 20224375200000 in words is "twenty trillion, two hundred twenty-four billion, three hundred seventy-five million, two hundred thousand".