10506656464 has 40 divisors (see below), whose sum is σ = 20844648000. Its totient is φ = 5127564288.

The previous prime is 10506656449. The next prime is 10506656491. The reversal of 10506656464 is 46465660501.

It is a super-2 number, since 2×10506656464² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 10506656464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1163037 + ... + 1172035.

It is an arithmetic number, because the mean of its divisors is an integer number (521116200).

Almost surely, 2^10506656464 is an apocalyptic number.

It is an amenable number.

10506656464 is a deficient number, since it is larger than the sum of its proper divisors (10337991536).

10506656464 is a wasteful number, since it uses less digits than its factorization.

10506656464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10747 (or 10741 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 10506656464 in words is "ten billion, five hundred six million, six hundred fifty-six thousand, four hundred sixty-four".