10166675904 has 448 divisors, whose sum is σ = 37658649600. Its totient is φ = 2612736000.

The previous prime is 10166675863. The next prime is 10166675989. The reversal of 10166675904 is 40957666101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10166675904² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10166675904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14502754 + ... + 14503454.

Almost surely, 2^10166675904 is an apocalyptic number.

10166675904 is a gapful number since it is divisible by the number (14) 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 10166675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18829324800).

10166675904 is an abundant number, since it is smaller than the sum of its proper divisors (27491973696).

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

10166675904 is a wasteful number, since it uses less digits than its factorization.

10166675904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10166675904 in words is "ten billion, one hundred sixty-six million, six hundred seventy-five thousand, nine hundred four".