10659768480 has 144 divisors (see below), whose sum is σ = 37723873824. Its totient is φ = 2842594560.

The previous prime is 10659768479. The next prime is 10659768481. The reversal of 10659768480 is 8486795601.

10659768480 is a `hidden beast` number, since 1 + 0 + 6 + 597 + 6 + 8 + 48 + 0 = 666.

10659768480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10659768479) and next prime (10659768481).

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

It is a super-2 number, since 2×10659768480² (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 not an unprimeable number, because it can be changed into a prime (10659768481) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 98206 + ... + 175965.

It is an arithmetic number, because the mean of its divisors is an integer number (261971346).

Almost surely, 2^10659768480 is an apocalyptic number.

10659768480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10659768480 is an abundant number, since it is smaller than the sum of its proper divisors (27064105344).

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

10659768480 is an equidigital number, since it uses as much as digits as its factorization.

10659768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274201 (or 274181 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10659768480 in words is "ten billion, six hundred fifty-nine million, seven hundred sixty-eight thousand, four hundred eighty".