10760733090432 has 1536 divisors, whose sum is σ = 36862151639040. Its totient is φ = 3101840179200.

The previous prime is 10760733090427. The next prime is 10760733090451. The reversal of 10760733090432 is 23409033706701.

It is a happy number.

10760733090432 is a `hidden beast` number, since 1 + 0 + 7 + 60 + 73 + 3 + 0 + 90 + 432 = 666.

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 191 ways as a sum of consecutive naturals, for example, 95227726408 + ... + 95227726520.

It is an arithmetic number, because the mean of its divisors is an integer number (23998796640).

Almost surely, 2^{10760733090432} is an apocalyptic number.

10760733090432 is a gapful number since it is divisible by the number (12) 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 10760733090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18431075819520).

10760733090432 is an abundant number, since it is smaller than the sum of its proper divisors (26101418548608).

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

10760733090432 is a wasteful number, since it uses less digits than its factorization.

10760733090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 10760733090432 in words is "ten trillion, seven hundred sixty billion, seven hundred thirty-three million, ninety thousand, four hundred thirty-two".