10132684800 has 768 divisors, whose sum is σ = 41606860800. Its totient is φ = 2123366400.

The previous prime is 10132684763. The next prime is 10132684813. The reversal of 10132684800 is 848623101.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326860785 + ... + 326860815.

It is an arithmetic number, because the mean of its divisors is an integer number (54175600).

Almost surely, 2^10132684800 is an apocalyptic number.

10132684800 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 10132684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803430400).

10132684800 is an abundant number, since it is smaller than the sum of its proper divisors (31474176000).

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

10132684800 is an equidigital number, since it uses as much as digits as its factorization.

10132684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 10132684800 in words is "ten billion, one hundred thirty-two million, six hundred eighty-four thousand, eight hundred".