10752129080 has 128 divisors (see below), whose sum is σ = 30731374080. Its totient is φ = 3288030720.

The previous prime is 10752129067. The next prime is 10752129119. The reversal of 10752129080 is 8092125701.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10752129080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130307 + ... + 196173.

It is an arithmetic number, because the mean of its divisors is an integer number (240088860).

Almost surely, 2^10752129080 is an apocalyptic number.

10752129080 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 10752129080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365687040).

10752129080 is an abundant number, since it is smaller than the sum of its proper divisors (19979245000).

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

10752129080 is a wasteful number, since it uses less digits than its factorization.

10752129080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65949 (or 65945 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The spelling of 10752129080 in words is "ten billion, seven hundred fifty-two million, one hundred twenty-nine thousand, eighty".