13028950779768 has 256 divisors, whose sum is σ = 45693075456000. Its totient is φ = 3341305468800.

The previous prime is 13028950779763. The next prime is 13028950779769. The reversal of 13028950779768 is 86797705982031.

13028950779768 is a `hidden beast` number, since 1 + 3 + 0 + 28 + 9 + 507 + 7 + 97 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13028950779696 and 13028950779705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13028950779763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3644088 + ... + 6271943.

It is an arithmetic number, because the mean of its divisors is an integer number (178488576000).

Almost surely, 2^{13028950779768} is an apocalyptic number.

13028950779768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13028950779768 is an abundant number, since it is smaller than the sum of its proper divisors (32664124676232).

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

13028950779768 is a wasteful number, since it uses less digits than its factorization.

13028950779768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916143 (or 9916133 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 13028950779768 in words is "thirteen trillion, twenty-eight billion, nine hundred fifty million, seven hundred seventy-nine thousand, seven hundred sixty-eight".