17828325504 has 320 divisors, whose sum is σ = 58222644480. Its totient is φ = 5370624000.

The previous prime is 17828325497. The next prime is 17828325523. The reversal of 17828325504 is 40552382871.

17828325504 is a `hidden beast` number, since 1 + 78 + 28 + 3 + 2 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 17828325504.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25432354 + ... + 25433054.

It is an arithmetic number, because the mean of its divisors is an integer number (181945764).

Almost surely, 2^17828325504 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 17828325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29111322240).

17828325504 is an abundant number, since it is smaller than the sum of its proper divisors (40394318976).

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

17828325504 is a wasteful number, since it uses less digits than its factorization.

17828325504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 17828325504 in words is "seventeen billion, eight hundred twenty-eight million, three hundred twenty-five thousand, five hundred four".