201097337235600 has 720 divisors, whose sum is σ = 709333252653120. Its totient is φ = 48665218867200.

The previous prime is 201097337235497. The next prime is 201097337235623. The reversal of 201097337235600 is 6532733790102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 201097337235600.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47664690291 + ... + 47664694509.

Almost surely, 2^{201097337235600} is an apocalyptic number.

201097337235600 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 201097337235600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354666626326560).

201097337235600 is an abundant number, since it is smaller than the sum of its proper divisors (508235915417520).

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

201097337235600 is a wasteful number, since it uses less digits than its factorization.

201097337235600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8180 (or 8156 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 48.

The spelling of 201097337235600 in words is "two hundred one trillion, ninety-seven billion, three hundred thirty-seven million, two hundred thirty-five thousand, six hundred".