10752514300 has 144 divisors (see below), whose sum is σ = 26838282240. Its totient is φ = 3702816000.

The previous prime is 10752514291. The next prime is 10752514301. The reversal of 10752514300 is 341525701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10752514301) 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, 1599346 + ... + 1606054.

It is an arithmetic number, because the mean of its divisors is an integer number (186376960).

Almost surely, 2^10752514300 is an apocalyptic number.

10752514300 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 10752514300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13419141120).

10752514300 is an abundant number, since it is smaller than the sum of its proper divisors (16085767940).

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

10752514300 is a wasteful number, since it uses less digits than its factorization.

10752514300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 10752514300 in words is "ten billion, seven hundred fifty-two million, five hundred fourteen thousand, three hundred".