10740127872 has 256 divisors, whose sum is σ = 30895718400. Its totient is φ = 3295531008.

The previous prime is 10740127807. The next prime is 10740127877. The reversal of 10740127872 is 27872104701.

It is a super-2 number, since 2×10740127872² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10740127872.

It is not an unprimeable number, because it can be changed into a prime (10740127877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62081578 + ... + 62081750.

It is an arithmetic number, because the mean of its divisors is an integer number (120686400).

Almost surely, 2^10740127872 is an apocalyptic number.

10740127872 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 10740127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15447859200).

10740127872 is an abundant number, since it is smaller than the sum of its proper divisors (20155590528).

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

10740127872 is a wasteful number, since it uses less digits than its factorization.

10740127872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 39.

The spelling of 10740127872 in words is "ten billion, seven hundred forty million, one hundred twenty-seven thousand, eight hundred seventy-two".