10059782304 has 384 divisors, whose sum is σ = 32411425536. Its totient is φ = 2691072000.

The previous prime is 10059782281. The next prime is 10059782309. The reversal of 10059782304 is 40328795001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10059782309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34333582 + ... + 34333874.

It is an arithmetic number, because the mean of its divisors is an integer number (84404754).

Almost surely, 2^10059782304 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 10059782304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16205712768).

10059782304 is an abundant number, since it is smaller than the sum of its proper divisors (22351643232).

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

10059782304 is a wasteful number, since it uses less digits than its factorization.

10059782304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 10059782304 in words is "ten billion, fifty-nine million, seven hundred eighty-two thousand, three hundred four".