10132875636 has 288 divisors, whose sum is σ = 29514240000. Its totient is φ = 2684897280.

The previous prime is 10132875631. The next prime is 10132875647. The reversal of 10132875636 is 63657823101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132875631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20306115 + ... + 20306613.

It is an arithmetic number, because the mean of its divisors is an integer number (102480000).

Almost surely, 2^10132875636 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 10132875636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757120000).

10132875636 is an abundant number, since it is smaller than the sum of its proper divisors (19381364364).

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

10132875636 is a wasteful number, since it uses less digits than its factorization.

10132875636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 10132875636 in words is "ten billion, one hundred thirty-two million, eight hundred seventy-five thousand, six hundred thirty-six".