10201774128 has 480 divisors, whose sum is σ = 34957762560. Its totient is φ = 2537256960.

The previous prime is 10201774127. The next prime is 10201774147. The reversal of 10201774128 is 82147710201.

It is not an unprimeable number, because it can be changed into a prime (10201774127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44549118 + ... + 44549346.

It is an arithmetic number, because the mean of its divisors is an integer number (72828672).

Almost surely, 2^10201774128 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 10201774128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17478881280).

10201774128 is an abundant number, since it is smaller than the sum of its proper divisors (24755988432).

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

10201774128 is a wasteful number, since it uses less digits than its factorization.

10201774128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The spelling of 10201774128 in words is "ten billion, two hundred one million, seven hundred seventy-four thousand, one hundred twenty-eight".