201720196800 has 420 divisors, whose sum is σ = 759577409976. Its totient is φ = 52478668800.

The previous prime is 201720196787. The next prime is 201720196823. The reversal of 201720196800 is 8691027102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5294619 + ... + 5332581.

Almost surely, 2^201720196800 is an apocalyptic number.

201720196800 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 201720196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379788704988).

201720196800 is an abundant number, since it is smaller than the sum of its proper divisors (557857213176).

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

201720196800 is a wasteful number, since it uses less digits than its factorization.

201720196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38038 (or 38014 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 201720196800 in words is "two hundred one billion, seven hundred twenty million, one hundred ninety-six thousand, eight hundred".