10752814080 has 264 divisors, whose sum is σ = 37457643600. Its totient is φ = 2852093952.

The previous prime is 10752814067. The next prime is 10752814087. The reversal of 10752814080 is 8041825701.

10752814080 is a `hidden beast` number, since 10 + 7 + 528 + 1 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10752814087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10551811 + ... + 10552829.

Almost surely, 2^10752814080 is an apocalyptic number.

10752814080 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 10752814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18728821800).

10752814080 is an abundant number, since it is smaller than the sum of its proper divisors (26704829520).

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

10752814080 is a wasteful number, since it uses less digits than its factorization.

10752814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10752814080 in words is "ten billion, seven hundred fifty-two million, eight hundred fourteen thousand, eighty".