10452032000 has 160 divisors (see below), whose sum is σ = 26226691920. Its totient is φ = 4154572800.

The previous prime is 10452031991. The next prime is 10452032009. The reversal of 10452032000 is 23025401.

10452032000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10452031991) and next prime (10452032009).

It can be written as a sum of positive squares in 8 ways, for example, as 2755830016 + 7696201984 = 52496^2 + 87728^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 10452032000.

It is not an unprimeable number, because it can be changed into a prime (10452032009) 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 15 ways as a sum of consecutive naturals, for example, 12607586 + ... + 12608414.

Almost surely, 2^10452032000 is an apocalyptic number.

10452032000 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 10452032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13113345960).

10452032000 is an abundant number, since it is smaller than the sum of its proper divisors (15774659920).

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

10452032000 is an frugal number, since it uses more digits than its factorization.

10452032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 10452032000 its reverse (23025401), we get a palindrome (10475057401).

The spelling of 10452032000 in words is "ten billion, four hundred fifty-two million, thirty-two thousand".