10459874304 has 352 divisors, whose sum is σ = 34161646080. Its totient is φ = 3135283200.

The previous prime is 10459874297. The next prime is 10459874311. The reversal of 10459874304 is 40347895401.

10459874304 is a `hidden beast` number, since 10 + 4 + 598 + 7 + 43 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10459874297) and next prime (10459874311).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10459874304.

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 31 ways as a sum of consecutive naturals, for example, 49572759 + ... + 49572969.

Almost surely, 2^10459874304 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 10459874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17080823040).

10459874304 is an abundant number, since it is smaller than the sum of its proper divisors (23701771776).

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

10459874304 is a wasteful number, since it uses less digits than its factorization.

10459874304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10459874304 in words is "ten billion, four hundred fifty-nine million, eight hundred seventy-four thousand, three hundred four".