10116600672 has 96 divisors (see below), whose sum is σ = 27269948160. Its totient is φ = 3282670080.

The previous prime is 10116600653. The next prime is 10116600713. The reversal of 10116600672 is 27600661101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×10116600672³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574722 + ... + 592062.

It is an arithmetic number, because the mean of its divisors is an integer number (284061960).

Almost surely, 2^10116600672 is an apocalyptic number.

10116600672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10116600672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13634974080).

10116600672 is an abundant number, since it is smaller than the sum of its proper divisors (17153347488).

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

10116600672 is a wasteful number, since it uses less digits than its factorization.

10116600672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17516 (or 17508 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 10116600672 in words is "ten billion, one hundred sixteen million, six hundred thousand, six hundred seventy-two".