10174017680 has 20 divisors (see below), whose sum is σ = 23654591292. Its totient is φ = 4069607040.

The previous prime is 10174017677. The next prime is 10174017691. The reversal of 10174017680 is 8671047101.

It can be written as a sum of positive squares in 2 ways, for example, as 6797013136 + 3377004544 = 82444^2 + 58112^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10174017680.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63587531 + ... + 63587690.

Almost surely, 2^10174017680 is an apocalyptic number.

10174017680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10174017680 is an abundant number, since it is smaller than the sum of its proper divisors (13480573612).

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

10174017680 is a wasteful number, since it uses less digits than its factorization.

10174017680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127175234 (or 127175228 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 35.

The spelling of 10174017680 in words is "ten billion, one hundred seventy-four million, seventeen thousand, six hundred eighty".