10752250760000 has 280 divisors, whose sum is σ = 27151846128000. Its totient is φ = 4222513152000.

The previous prime is 10752250759951. The next prime is 10752250760057. The reversal of 10752250760000 is 6705225701.

It is a happy number.

It is a super-2 number, since 2×10752250760000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 565630496 + ... + 565649504.

Almost surely, 2^{10752250760000} is an apocalyptic number.

10752250760000 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 10752250760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575923064000).

10752250760000 is an abundant number, since it is smaller than the sum of its proper divisors (16399595368000).

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

10752250760000 is an equidigital number, since it uses as much as digits as its factorization.

10752250760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19299 (or 19274 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

Adding to 10752250760000 its reverse (6705225701), we get a palindrome (10758955985701).

The spelling of 10752250760000 in words is "ten trillion, seven hundred fifty-two billion, two hundred fifty million, seven hundred sixty thousand".