20345075223200 has 432 divisors, whose sum is σ = 65495523330720. Its totient is φ = 6099989575680.

The previous prime is 20345075223169. The next prime is 20345075223217. The reversal of 20345075223200 is 232257054302.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8631779 + ... + 10733021.

It is an arithmetic number, because the mean of its divisors is an integer number (151610007710).

Almost surely, 2^{20345075223200} is an apocalyptic number.

20345075223200 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 20345075223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32747761665360).

20345075223200 is an abundant number, since it is smaller than the sum of its proper divisors (45150448107520).

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

20345075223200 is a wasteful number, since it uses less digits than its factorization.

20345075223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101309 (or 2101289 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 35.

The spelling of 20345075223200 in words is "twenty trillion, three hundred forty-five billion, seventy-five million, two hundred twenty-three thousand, two hundred".