201835417585152 has 1280 divisors, whose sum is σ = 653833351987200. Its totient is φ = 54654814126080.

The previous prime is 201835417585141. The next prime is 201835417585157. The reversal of 201835417585152 is 251585714538102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 201835417585092 and 201835417585101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201835417585157) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 195766650877 + ... + 195766651907.

It is an arithmetic number, because the mean of its divisors is an integer number (510807306240).

Almost surely, 2^{201835417585152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201835417585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326916675993600).

201835417585152 is an abundant number, since it is smaller than the sum of its proper divisors (451997934402048).

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

201835417585152 is a wasteful number, since it uses less digits than its factorization.

201835417585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 13440000, while the sum is 57.

The spelling of 201835417585152 in words is "two hundred one trillion, eight hundred thirty-five billion, four hundred seventeen million, five hundred eighty-five thousand, one hundred fifty-two".