10128627960967 has 8 divisors (see below), whose sum is σ = 10147498719120. Its totient is φ = 10109757752640.

The previous prime is 10128627960959. The next prime is 10128627960989. The reversal of 10128627960967 is 76906972682101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10128627960967 - 2³ = 10128627960959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10128627960899 and 10128627960908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128627960917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68789808 + ... + 68936890.

It is an arithmetic number, because the mean of its divisors is an integer number (1268437339890).

Almost surely, 2^{10128627960967} is an apocalyptic number.

10128627960967 is a deficient number, since it is larger than the sum of its proper divisors (18870758153).

10128627960967 is a wasteful number, since it uses less digits than its factorization.

10128627960967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274913.

The product of its (nonzero) digits is 27433728, while the sum is 64.

The spelling of 10128627960967 in words is "ten trillion, one hundred twenty-eight billion, six hundred twenty-seven million, nine hundred sixty thousand, nine hundred sixty-seven".