10760995840 has 264 divisors, whose sum is σ = 30579232320. Its totient is φ = 3621961728.

The previous prime is 10760995799. The next prime is 10760995849. The reversal of 10760995840 is 4859906701.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (10760995849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14801557 + ... + 14802283.

Almost surely, 2^10760995840 is an apocalyptic number.

10760995840 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 10760995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289616160).

10760995840 is an abundant number, since it is smaller than the sum of its proper divisors (19818236480).

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

10760995840 is an equidigital number, since it uses as much as digits as its factorization.

10760995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 10760995840 in words is "ten billion, seven hundred sixty million, nine hundred ninety-five thousand, eight hundred forty".