10458600768 has 840 divisors, whose sum is σ = 41623670880. Its totient is φ = 2560481280.

The previous prime is 10458600767. The next prime is 10458600791. The reversal of 10458600768 is 86700685401.

It is a happy number.

10458600768 is a `hidden beast` number, since 1 + 0 + 4 + 586 + 0 + 0 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10458600767) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 53089246 + ... + 53089442.

Almost surely, 2^10458600768 is an apocalyptic number.

10458600768 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 10458600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20811835440).

10458600768 is an abundant number, since it is smaller than the sum of its proper divisors (31165070112).

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

10458600768 is a wasteful number, since it uses less digits than its factorization.

10458600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10458600768 in words is "ten billion, four hundred fifty-eight million, six hundred thousand, seven hundred sixty-eight".