10617021672 has 64 divisors (see below), whose sum is σ = 26840160000. Its totient is φ = 3499474944.

The previous prime is 10617021643. The next prime is 10617021673. The reversal of 10617021672 is 27612071601.

10617021672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10617021672² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10617021673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213329 + ... + 1222047.

It is an arithmetic number, because the mean of its divisors is an integer number (419377500).

Almost surely, 2^10617021672 is an apocalyptic number.

10617021672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10617021672 is an abundant number, since it is smaller than the sum of its proper divisors (16223138328).

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

10617021672 is a wasteful number, since it uses less digits than its factorization.

10617021672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9290 (or 9286 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 10617021672 in words is "ten billion, six hundred seventeen million, twenty-one thousand, six hundred seventy-two".