13076547061968 has 960 divisors, whose sum is σ = 43870042262592. Its totient is φ = 3598150533120.

The previous prime is 13076547061937. The next prime is 13076547061997. The reversal of 13076547061968 is 86916074567031.

13076547061968 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 6 + 5 + 4 + 7 + 0 + 619 + 6 + 8 = 666.

13076547061968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 4256431124544 + 8820115937424 = 2063112^2 + 2969868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19782975558 + ... + 19782976218.

Almost surely, 2^{13076547061968} is an apocalyptic number.

13076547061968 is a gapful number since it is divisible by the number (18) 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 13076547061968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21935021131296).

13076547061968 is an abundant number, since it is smaller than the sum of its proper divisors (30793495200624).

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

13076547061968 is a wasteful number, since it uses less digits than its factorization.

13076547061968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 13076547061968 in words is "thirteen trillion, seventy-six billion, five hundred forty-seven million, sixty-one thousand, nine hundred sixty-eight".