10269961728 has 320 divisors, whose sum is σ = 31150006272. Its totient is φ = 2984509440.

The previous prime is 10269961727. The next prime is 10269961753. The reversal of 10269961728 is 82716996201.

It is a super-2 number, since 2×10269961728² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10269961727) 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 31 ways as a sum of consecutive naturals, for example, 29093200 + ... + 29093552.

Almost surely, 2^10269961728 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 10269961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575003136).

10269961728 is an abundant number, since it is smaller than the sum of its proper divisors (20880044544).

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

10269961728 is a wasteful number, since it uses less digits than its factorization.

10269961728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 10269961728 in words is "ten billion, two hundred sixty-nine million, nine hundred sixty-one thousand, seven hundred twenty-eight".