10117627120 has 40 divisors (see below), whose sum is σ = 23874592464. Its totient is φ = 3986644992.

The previous prime is 10117627109. The next prime is 10117627127. The reversal of 10117627120 is 2172671101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117627127) 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, 938449 + ... + 949168.

Almost surely, 2^10117627120 is an apocalyptic number.

10117627120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10117627120 is an abundant number, since it is smaller than the sum of its proper divisors (13756965344).

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

10117627120 is a wasteful number, since it uses less digits than its factorization.

10117627120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887697 (or 1887691 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 28.

The spelling of 10117627120 in words is "ten billion, one hundred seventeen million, six hundred twenty-seven thousand, one hundred twenty".