10171982304 has 288 divisors, whose sum is σ = 32691859200. Its totient is φ = 2973358080.

The previous prime is 10171982299. The next prime is 10171982341. The reversal of 10171982304 is 40328917101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12123517 + ... + 12124355.

It is an arithmetic number, because the mean of its divisors is an integer number (113513400).

Almost surely, 2^10171982304 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 10171982304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345929600).

10171982304 is an abundant number, since it is smaller than the sum of its proper divisors (22519876896).

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

10171982304 is a wasteful number, since it uses less digits than its factorization.

10171982304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10171982304 in words is "ten billion, one hundred seventy-one million, nine hundred eighty-two thousand, three hundred four".