10752715008 has 252 divisors, whose sum is σ = 36782090688. Its totient is φ = 3071831040.

The previous prime is 10752715007. The next prime is 10752715009. The reversal of 10752715008 is 80051725701.

10752715008 is a `hidden beast` number, since 10 + 75 + 2 + 71 + 500 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10752715007) and next prime (10752715009).

It is a tau number, because it is divible by the number of its divisors (252).

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 (10752715007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1302253 + ... + 1310483.

Almost surely, 2^10752715008 is an apocalyptic number.

10752715008 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 10752715008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18391045344).

10752715008 is an abundant number, since it is smaller than the sum of its proper divisors (26029375680).

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

10752715008 is an frugal number, since it uses more digits than its factorization.

10752715008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 10752715008 in words is "ten billion, seven hundred fifty-two million, seven hundred fifteen thousand, eight".