201997311399520 has 768 divisors, whose sum is σ = 631979452661760. Its totient is φ = 59222416121856.

The previous prime is 201997311399509. The next prime is 201997311399529. The reversal of 201997311399520 is 25993113799102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201997311399529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15901537489 + ... + 15901550191.

It is an arithmetic number, because the mean of its divisors is an integer number (822889912320).

Almost surely, 2^{201997311399520} is an apocalyptic number.

201997311399520 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 201997311399520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315989726330880).

201997311399520 is an abundant number, since it is smaller than the sum of its proper divisors (429982141262240).

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

201997311399520 is a wasteful number, since it uses less digits than its factorization.

201997311399520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14027 (or 14019 counting only the distinct ones).

The product of its (nonzero) digits is 8266860, while the sum is 61.

The spelling of 201997311399520 in words is "two hundred one trillion, nine hundred ninety-seven billion, three hundred eleven million, three hundred ninety-nine thousand, five hundred twenty".