10276188832 has 384 divisors, whose sum is σ = 27781221888. Its totient is φ = 3627417600.

The previous prime is 10276188803. The next prime is 10276188833. The reversal of 10276188832 is 23888167201.

It is not an unprimeable number, because it can be changed into a prime (10276188833) 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 63 ways as a sum of consecutive naturals, for example, 123809463 + ... + 123809545.

It is an arithmetic number, because the mean of its divisors is an integer number (72346932).

Almost surely, 2^10276188832 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 10276188832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13890610944).

10276188832 is an abundant number, since it is smaller than the sum of its proper divisors (17505033056).

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

10276188832 is a wasteful number, since it uses less digits than its factorization.

10276188832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 10276188832 in words is "ten billion, two hundred seventy-six million, one hundred eighty-eight thousand, eight hundred thirty-two".