10127167152 has 40 divisors (see below), whose sum is σ = 26170944000. Its totient is φ = 3374548800.

The previous prime is 10127167151. The next prime is 10127167199. The reversal of 10127167152 is 25176172101.

It is a super-2 number, since 2×10127167152² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10127167151) 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, 108777 + ... + 179127.

It is an arithmetic number, because the mean of its divisors is an integer number (654273600).

Almost surely, 2^10127167152 is an apocalyptic number.

10127167152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10127167152 is an abundant number, since it is smaller than the sum of its proper divisors (16043776848).

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

10127167152 is a wasteful number, since it uses less digits than its factorization.

10127167152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73361 (or 73355 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 33.

The spelling of 10127167152 in words is "ten billion, one hundred twenty-seven million, one hundred sixty-seven thousand, one hundred fifty-two".