10752030720 has 576 divisors, whose sum is σ = 40245660000. Its totient is φ = 2749759488.

The previous prime is 10752030713. The next prime is 10752030727. The reversal of 10752030720 is 2703025701.

10752030720 is a `hidden beast` number, since 107 + 520 + 30 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10752030713) and next prime (10752030727).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10752030727) 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 47 ways as a sum of consecutive naturals, for example, 72161206 + ... + 72161354.

Almost surely, 2^10752030720 is an apocalyptic number.

10752030720 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 10752030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20122830000).

10752030720 is an abundant number, since it is smaller than the sum of its proper divisors (29493629280).

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

10752030720 is an equidigital number, since it uses as much as digits as its factorization.

10752030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 10752030720 in words is "ten billion, seven hundred fifty-two million, thirty thousand, seven hundred twenty".