10756730880 has 624 divisors, whose sum is σ = 44597046240. Its totient is φ = 2452488192.

The previous prime is 10756730869. The next prime is 10756730893. The reversal of 10756730880 is 8803765701.

10756730880 is a `hidden beast` number, since 1 + 0 + 7 + 567 + 3 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27094842 + ... + 27095238.

Almost surely, 2^10756730880 is an apocalyptic number.

10756730880 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 10756730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22298523120).

10756730880 is an abundant number, since it is smaller than the sum of its proper divisors (33840315360).

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

10756730880 is an equidigital number, since it uses as much as digits as its factorization.

10756730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10756730880 in words is "ten billion, seven hundred fifty-six million, seven hundred thirty thousand, eight hundred eighty".