13126771804608 has 672 divisors, whose sum is σ = 50762338099200. Its totient is φ = 3261302922240.

The previous prime is 13126771804541. The next prime is 13126771804609. The reversal of 13126771804608 is 80640817762131.

13126771804608 is a `hidden beast` number, since 1 + 3 + 1 + 26 + 7 + 7 + 1 + 8 + 0 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13126771804609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27304293 + ... + 27780891.

It is an arithmetic number, because the mean of its divisors is an integer number (75539193600).

Almost surely, 2^{13126771804608} is an apocalyptic number.

13126771804608 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 13126771804608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25381169049600).

13126771804608 is an abundant number, since it is smaller than the sum of its proper divisors (37635566294592).

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

13126771804608 is a wasteful number, since it uses less digits than its factorization.

13126771804608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476667 (or 476645 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 13126771804608 in words is "thirteen trillion, one hundred twenty-six billion, seven hundred seventy-one million, eight hundred four thousand, six hundred eight".