10125556672767 has 16 divisors (see below), whose sum is σ = 14298662661120. Its totient is φ = 6351619740032.

The previous prime is 10125556672739. The next prime is 10125556672807. The reversal of 10125556672767 is 76727665552101.

It is a cyclic number.

It is not a de Polignac number, because 10125556672767 - 2¹⁰ = 10125556671743 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10125556672767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125556673767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25909167 + ... + 26297072.

It is an arithmetic number, because the mean of its divisors is an integer number (893666416320).

Almost surely, 2^{10125556672767} is an apocalyptic number.

10125556672767 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10125556672767 is a deficient number, since it is larger than the sum of its proper divisors (4173105988353).

10125556672767 is a wasteful number, since it uses less digits than its factorization.

10125556672767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52210062.

The product of its (nonzero) digits is 37044000, while the sum is 60.

The spelling of 10125556672767 in words is "ten trillion, one hundred twenty-five billion, five hundred fifty-six million, six hundred seventy-two thousand, seven hundred sixty-seven".