10132824800 has 288 divisors, whose sum is σ = 29752095744. Its totient is φ = 3294720000.

The previous prime is 10132824791. The next prime is 10132824803. The reversal of 10132824800 is 842823101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132824803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19448540 + ... + 19449060.

It is an arithmetic number, because the mean of its divisors is an integer number (103305888).

Almost surely, 2^10132824800 is an apocalyptic number.

10132824800 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 10132824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14876047872).

10132824800 is an abundant number, since it is smaller than the sum of its proper divisors (19619270944).

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

10132824800 is a wasteful number, since it uses less digits than its factorization.

10132824800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The spelling of 10132824800 in words is "ten billion, one hundred thirty-two million, eight hundred twenty-four thousand, eight hundred".