13075386575616 has 216 divisors, whose sum is σ = 39023372204544. Its totient is φ = 4207271362560.

The previous prime is 13075386575609. The next prime is 13075386575633. The reversal of 13075386575616 is 61657568357031.

It is a happy number.

13075386575616 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 5 + 3 + 8 + 6 + 5 + 7 + 5 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10222636 + ... + 11430356.

Almost surely, 2^{13075386575616} is an apocalyptic number.

13075386575616 is a gapful number since it is divisible by the number (16) 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 13075386575616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19511686102272).

13075386575616 is an abundant number, since it is smaller than the sum of its proper divisors (25947985628928).

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

13075386575616 is a wasteful number, since it uses less digits than its factorization.

13075386575616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207907 (or 1207890 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 13075386575616 in words is "thirteen trillion, seventy-five billion, three hundred eighty-six million, five hundred seventy-five thousand, six hundred sixteen".