10654128864 has 72 divisors (see below), whose sum is σ = 30450092400. Its totient is φ = 3533511168.

The previous prime is 10654128829. The next prime is 10654128869. The reversal of 10654128864 is 46882145601.

It is a happy number.

10654128864 is a `hidden beast` number, since 1 + 0 + 6 + 541 + 28 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10654128864² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10654128869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35637 + ... + 150260.

It is an arithmetic number, because the mean of its divisors is an integer number (422917950).

Almost surely, 2^10654128864 is an apocalyptic number.

It is an amenable number.

10654128864 is an abundant number, since it is smaller than the sum of its proper divisors (19795963536).

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

10654128864 is a wasteful number, since it uses less digits than its factorization.

10654128864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186112 (or 186101 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10654128864 in words is "ten billion, six hundred fifty-four million, one hundred twenty-eight thousand, eight hundred sixty-four".