10045894320 has 1440 divisors, whose sum is σ = 48605222400. Its totient is φ = 1861263360.

The previous prime is 10045894297. The next prime is 10045894349. The reversal of 10045894320 is 2349854001.

10045894320 is a `hidden beast` number, since 10 + 0 + 4 + 589 + 43 + 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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 528731271 + ... + 528731289.

Almost surely, 2^10045894320 is an apocalyptic number.

10045894320 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 10045894320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24302611200).

10045894320 is an abundant number, since it is smaller than the sum of its proper divisors (38559328080).

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

10045894320 is a wasteful number, since it uses less digits than its factorization.

10045894320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

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

The spelling of 10045894320 in words is "ten billion, forty-five million, eight hundred ninety-four thousand, three hundred twenty".