10752000000 has 448 divisors, whose sum is σ = 40958850720. Its totient is φ = 2457600000.

The previous prime is 10751999989. The next prime is 10752000019. The reversal of 10752000000 is 25701.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1535999997 + ... + 1536000003.

Almost surely, 2^10752000000 is an apocalyptic number.

10752000000 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 10752000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20479425360).

10752000000 is an abundant number, since it is smaller than the sum of its proper divisors (30206850720).

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

10752000000 is an frugal number, since it uses more digits than its factorization.

10752000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

Adding to 10752000000 its reverse (25701), we get a palindrome (10752025701).

The spelling of 10752000000 in words is "ten billion, seven hundred fifty-two million", and thus it is an aban number.