10240559875728 has 480 divisors, whose sum is σ = 36364179488000. Its totient is φ = 2672947372032.

The previous prime is 10240559875723. The next prime is 10240559875757. The reversal of 10240559875728 is 82757895504201.

10240559875728 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 5 + 59 + 8 + 7 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10240559875723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62201103 + ... + 62365521.

Almost surely, 2^{10240559875728} is an apocalyptic number.

10240559875728 is a gapful number since it is divisible by the number (18) 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 10240559875728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18182089744000).

10240559875728 is an abundant number, since it is smaller than the sum of its proper divisors (26123619612272).

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

10240559875728 is a wasteful number, since it uses less digits than its factorization.

10240559875728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164564 (or 164541 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 10240559875728 in words is "ten trillion, two hundred forty billion, five hundred fifty-nine million, eight hundred seventy-five thousand, seven hundred twenty-eight".