201988521504 has 1152 divisors, whose sum is σ = 793658880000. Its totient is φ = 48776048640.

The previous prime is 201988521503. The next prime is 201988521533. The reversal of 201988521504 is 405125889102.

201988521504 is a `hidden beast` number, since 2 + 0 + 1 + 98 + 8 + 52 + 1 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 201988521504.

It is not an unprimeable number, because it can be changed into a prime (201988521503) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1015017597 + ... + 1015017795.

It is an arithmetic number, because the mean of its divisors is an integer number (688940000).

Almost surely, 2^201988521504 is an apocalyptic number.

201988521504 is a gapful number since it is divisible by the number (24) 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 201988521504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396829440000).

201988521504 is an abundant number, since it is smaller than the sum of its proper divisors (591670358496).

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

201988521504 is a wasteful number, since it uses less digits than its factorization.

201988521504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 201988521504 in words is "two hundred one billion, nine hundred eighty-eight million, five hundred twenty-one thousand, five hundred four".