201597300846900 has 864 divisors, whose sum is σ = 807799270037760. Its totient is φ = 40937820733440.

The previous prime is 201597300846859. The next prime is 201597300846911. The reversal of 201597300846900 is 9648003795102.

201597300846900 is a `hidden beast` number, since 2 + 0 + 1 + 597 + 3 + 0 + 0 + 8 + 46 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×201597300846900² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 563488474 + ... + 563846126.

It is an arithmetic number, because the mean of its divisors is an integer number (934952858840).

It is a 1-persistent number, because it is pandigital, but 2⋅201597300846900 = 403194601693800 is not.

Almost surely, 2^{201597300846900} is an apocalyptic number.

201597300846900 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 201597300846900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403899635018880).

201597300846900 is an abundant number, since it is smaller than the sum of its proper divisors (606201969190860).

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

201597300846900 is a wasteful number, since it uses less digits than its factorization.

201597300846900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357993 (or 357983 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 201597300846900 in words is "two hundred one trillion, five hundred ninety-seven billion, three hundred million, eight hundred forty-six thousand, nine hundred".