10260131328 has 400 divisors, whose sum is σ = 33421410000. Its totient is φ = 3121348608.

The previous prime is 10260131317. The next prime is 10260131383. The reversal of 10260131328 is 82313106201.

It is a happy number.

10260131328 is a `hidden beast` number, since 1 + 0 + 2 + 601 + 31 + 3 + 28 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22850848 + ... + 22851296.

It is an arithmetic number, because the mean of its divisors is an integer number (83553525).

Almost surely, 2^10260131328 is an apocalyptic number.

10260131328 is a gapful number since it is divisible by the number (18) 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 10260131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16710705000).

10260131328 is an abundant number, since it is smaller than the sum of its proper divisors (23161278672).

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

10260131328 is an equidigital number, since it uses as much as digits as its factorization.

10260131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10260131328 its reverse (82313106201), we get a palindrome (92573237529).

The spelling of 10260131328 in words is "ten billion, two hundred sixty million, one hundred thirty-one thousand, three hundred twenty-eight".