10332127260 has 480 divisors, whose sum is σ = 40450025280. Its totient is φ = 2176409088.

The previous prime is 10332127193. The next prime is 10332127277. The reversal of 10332127260 is 6272123301.

10332127260 is a `hidden beast` number, since 1 + 0 + 332 + 1 + 272 + 60 = 666.

10332127260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 16854714 + ... + 16855326.

It is an arithmetic number, because the mean of its divisors is an integer number (84270886).

Almost surely, 2^10332127260 is an apocalyptic number.

10332127260 is a gapful number since it is divisible by the number (10) 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 10332127260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20225012640).

10332127260 is an abundant number, since it is smaller than the sum of its proper divisors (30117898020).

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

10332127260 is a wasteful number, since it uses less digits than its factorization.

10332127260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 10332127260 in words is "ten billion, three hundred thirty-two million, one hundred twenty-seven thousand, two hundred sixty".