10209172704 has 96 divisors (see below), whose sum is σ = 27304091136. Its totient is φ = 3339325440.

The previous prime is 10209172667. The next prime is 10209172751. The reversal of 10209172704 is 40727190201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1740144 + ... + 1746000.

It is an arithmetic number, because the mean of its divisors is an integer number (284417616).

Almost surely, 2^10209172704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10209172704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13652045568).

10209172704 is an abundant number, since it is smaller than the sum of its proper divisors (17094918432).

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

10209172704 is a wasteful number, since it uses less digits than its factorization.

10209172704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6208 (or 6200 counting only the distinct ones).

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

The spelling of 10209172704 in words is "ten billion, two hundred nine million, one hundred seventy-two thousand, seven hundred four".