10658628864 has 144 divisors (see below), whose sum is σ = 33944299200. Its totient is φ = 3279550464.

The previous prime is 10658628833. The next prime is 10658628901. The reversal of 10658628864 is 46882685601.

10658628864 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 8 + 628 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10658628864² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10658628864.

It is a congruent number.

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, 30547 + ... + 149165.

It is an arithmetic number, because the mean of its divisors is an integer number (235724300).

Almost surely, 2^10658628864 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 10658628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16972149600).

10658628864 is an abundant number, since it is smaller than the sum of its proper divisors (23285670336).

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

10658628864 is a wasteful number, since it uses less digits than its factorization.

10658628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118657 (or 118637 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 10658628864 in words is "ten billion, six hundred fifty-eight million, six hundred twenty-eight thousand, eight hundred sixty-four".