10059448320 has 340 divisors, whose sum is σ = 36159867480. Its totient is φ = 2675441664.

The previous prime is 10059448319. The next prime is 10059448327. The reversal of 10059448320 is 2384495001.

10059448320 is a `hidden beast` number, since 1 + 0 + 0 + 594 + 48 + 3 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10059448327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26541891 + ... + 26542269.

Almost surely, 2^10059448320 is an apocalyptic number.

10059448320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10059448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079933740).

10059448320 is an abundant number, since it is smaller than the sum of its proper divisors (26100419160).

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

10059448320 is an frugal number, since it uses more digits than its factorization.

10059448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10059448320 in words is "ten billion, fifty-nine million, four hundred forty-eight thousand, three hundred twenty".