10752948288 has 196 divisors, whose sum is σ = 32862116140. Its totient is φ = 3486882816.

The previous prime is 10752948287. The next prime is 10752948313. The reversal of 10752948288 is 88284925701.

10752948288 is a `hidden beast` number, since 1 + 0 + 75 + 294 + 8 + 288 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7766544384 + 2986403904 = 88128^2 + 54648^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10752948287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1723158 + ... + 1729386.

Almost surely, 2^10752948288 is an apocalyptic number.

10752948288 is a gapful number since it is divisible by the number (18) 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 10752948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16431058070).

10752948288 is an abundant number, since it is smaller than the sum of its proper divisors (22109167852).

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

10752948288 is an frugal number, since it uses more digits than its factorization.

10752948288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 10752948288 in words is "ten billion, seven hundred fifty-two million, nine hundred forty-eight thousand, two hundred eighty-eight".