10756047944448 has 216 divisors, whose sum is σ = 31102322033328. Its totient is φ = 3574961381376.

The previous prime is 10756047944443. The next prime is 10756047944479. The reversal of 10756047944448 is 84444974065701.

10756047944448 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 60 + 47 + 94 + 4 + 448 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10756047944443) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1293256386 + ... + 1293264702.

Almost surely, 2^{10756047944448} is an apocalyptic number.

10756047944448 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 10756047944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15551161016664).

10756047944448 is an abundant number, since it is smaller than the sum of its proper divisors (20346274088880).

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

10756047944448 is an equidigital number, since it uses as much as digits as its factorization.

10756047944448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9899 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 10756047944448 in words is "ten trillion, seven hundred fifty-six billion, forty-seven million, nine hundred forty-four thousand, four hundred forty-eight".