201535355120 has 160 divisors (see below), whose sum is σ = 516817207296. Its totient is φ = 72479232000.

The previous prime is 201535355083. The next prime is 201535355171. The reversal of 201535355120 is 21553535102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37660445 + ... + 37665795.

Almost surely, 2^201535355120 is an apocalyptic number.

201535355120 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 201535355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258408603648).

201535355120 is an abundant number, since it is smaller than the sum of its proper divisors (315281852176).

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

201535355120 is a wasteful number, since it uses less digits than its factorization.

201535355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5833 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

It can be divided in two parts, 201535 and 355120, that added together give a palindrome (556655).

The spelling of 201535355120 in words is "two hundred one billion, five hundred thirty-five million, three hundred fifty-five thousand, one hundred twenty".