22005310250000 has 560 divisors, whose sum is σ = 66598075033728. Its totient is φ = 6842880000000.

The previous prime is 22005310249987. The next prime is 22005310250039. The reversal of 22005310250000 is 5201350022.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10414248944 + ... + 10414251056.

Almost surely, 2^{22005310250000} is an apocalyptic number.

22005310250000 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 22005310250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33299037516864).

22005310250000 is an abundant number, since it is smaller than the sum of its proper divisors (44592764783728).

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

22005310250000 is an equidigital number, since it uses as much as digits as its factorization.

22005310250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 22005310250000 in words is "twenty-two trillion, five billion, three hundred ten million, two hundred fifty thousand".