10752076800 has 396 divisors, whose sum is σ = 40191125520. Its totient is φ = 2741207040.

The previous prime is 10752076787. The next prime is 10752076813. The reversal of 10752076800 is 867025701.

It is an interprime number because it is at equal distance from previous prime (10752076787) and next prime (10752076813).

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5298186 + ... + 5300214.

Almost surely, 2^10752076800 is an apocalyptic number.

10752076800 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 10752076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20095562760).

10752076800 is an abundant number, since it is smaller than the sum of its proper divisors (29439048720).

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

10752076800 is a wasteful number, since it uses less digits than its factorization.

10752076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10752076800 in words is "ten billion, seven hundred fifty-two million, seventy-six thousand, eight hundred".