202151128960 has 768 divisors, whose sum is σ = 608210104320. Its totient is φ = 63420825600.

The previous prime is 202151128889. The next prime is 202151128961. The reversal of 202151128960 is 69821151202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202151128961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1962632269 + ... + 1962632371.

It is an arithmetic number, because the mean of its divisors is an integer number (791940240).

Almost surely, 2^202151128960 is an apocalyptic number.

202151128960 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 202151128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304105052160).

202151128960 is an abundant number, since it is smaller than the sum of its proper divisors (406058975360).

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

202151128960 is a wasteful number, since it uses less digits than its factorization.

202151128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 202151128960 in words is "two hundred two billion, one hundred fifty-one million, one hundred twenty-eight thousand, nine hundred sixty".