10704679028172 has 120 divisors (see below), whose sum is σ = 28324271517696. Its totient is φ = 3524866288992.

The previous prime is 10704679028167. The next prime is 10704679028177. The reversal of 10704679028172 is 27182097640701.

10704679028172 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 467 + 9 + 0 + 2 + 8 + 172 = 666.

It is an interprime number because it is at equal distance from previous prime (10704679028167) and next prime (10704679028177).

It is a super-3 number, since 3×10704679028172³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10704679028177) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 397530973 + ... + 397557899.

Almost surely, 2^{10704679028172} is an apocalyptic number.

10704679028172 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 10704679028172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14162135758848).

10704679028172 is an abundant number, since it is smaller than the sum of its proper divisors (17619592489524).

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

10704679028172 is a wasteful number, since it uses less digits than its factorization.

10704679028172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41809 (or 41798 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 10704679028172 in words is "ten trillion, seven hundred four billion, six hundred seventy-nine million, twenty-eight thousand, one hundred seventy-two".