10657984680 has 384 divisors, whose sum is σ = 40980026880. Its totient is φ = 2351462400.

The previous prime is 10657984669. The next prime is 10657984681. The reversal of 10657984680 is 8648975601.

10657984680 is a `hidden beast` number, since 1 + 0 + 6 + 579 + 8 + 4 + 68 + 0 = 666.

10657984680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10657984680² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10657984681) 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 95 ways as a sum of consecutive naturals, for example, 14078862 + ... + 14079618.

It is an arithmetic number, because the mean of its divisors is an integer number (106718820).

Almost surely, 2^10657984680 is an apocalyptic number.

10657984680 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 10657984680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490013440).

10657984680 is an abundant number, since it is smaller than the sum of its proper divisors (30322042200).

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

10657984680 is a wasteful number, since it uses less digits than its factorization.

10657984680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 962 counting only the distinct ones).

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

The spelling of 10657984680 in words is "ten billion, six hundred fifty-seven million, nine hundred eighty-four thousand, six hundred eighty".