10132860788736 has 448 divisors, whose sum is σ = 32088963219456. Its totient is φ = 2782937088000.

The previous prime is 10132860788683. The next prime is 10132860788737. The reversal of 10132860788736 is 63788706823101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 10132860788736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132860788737) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 805275501 + ... + 805288083.

Almost surely, 2^{10132860788736} is an apocalyptic number.

10132860788736 is a gapful number since it is divisible by the number (16) 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 10132860788736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16044481609728).

10132860788736 is an abundant number, since it is smaller than the sum of its proper divisors (21956102430720).

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

10132860788736 is a wasteful number, since it uses less digits than its factorization.

10132860788736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12801 (or 12777 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 10132860788736 in words is "ten trillion, one hundred thirty-two billion, eight hundred sixty million, seven hundred eighty-eight thousand, seven hundred thirty-six".