10459073568 has 96 divisors (see below), whose sum is σ = 28342125504. Its totient is φ = 3374687232.

The previous prime is 10459073543. The next prime is 10459073579. The reversal of 10459073568 is 86537095401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692271 + ... + 707217.

It is an arithmetic number, because the mean of its divisors is an integer number (295230474).

Almost surely, 2^10459073568 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 10459073568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171062752).

10459073568 is an abundant number, since it is smaller than the sum of its proper divisors (17883051936).

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

10459073568 is a wasteful number, since it uses less digits than its factorization.

10459073568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15194 (or 15186 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 10459073568 in words is "ten billion, four hundred fifty-nine million, seventy-three thousand, five hundred sixty-eight".