10458869960 has 256 divisors, whose sum is σ = 31036262400. Its totient is φ = 3073075200.

The previous prime is 10458869951. The next prime is 10458869983. The reversal of 10458869960 is 6996885401.

It is a happy number.

10458869960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 10458869896 and 10458869905.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18316475 + ... + 18317045.

It is an arithmetic number, because the mean of its divisors is an integer number (121235400).

Almost surely, 2^10458869960 is an apocalyptic number.

10458869960 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 10458869960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15518131200).

10458869960 is an abundant number, since it is smaller than the sum of its proper divisors (20577392440).

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

10458869960 is a wasteful number, since it uses less digits than its factorization.

10458869960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 56.

The spelling of 10458869960 in words is "ten billion, four hundred fifty-eight million, eight hundred sixty-nine thousand, nine hundred sixty".