10126272102760 has 64 divisors (see below), whose sum is σ = 25936064542080. Its totient is φ = 3522181597440.

The previous prime is 10126272102733. The next prime is 10126272102767. The reversal of 10126272102760 is 6720127262101.

It is not an unprimeable number, because it can be changed into a prime (10126272102767) 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 15 ways as a sum of consecutive naturals, for example, 500299767 + ... + 500320006.

It is an arithmetic number, because the mean of its divisors is an integer number (405251008470).

Almost surely, 2^{10126272102760} is an apocalyptic number.

10126272102760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10126272102760 is an abundant number, since it is smaller than the sum of its proper divisors (15809792439320).

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

10126272102760 is a wasteful number, since it uses less digits than its factorization.

10126272102760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000619818 (or 1000619814 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

Adding to 10126272102760 its reverse (6720127262101), we get a palindrome (16846399364861).

The spelling of 10126272102760 in words is "ten trillion, one hundred twenty-six billion, two hundred seventy-two million, one hundred two thousand, seven hundred sixty".