13430856863775 has 192 divisors, whose sum is σ = 25106665070592. Its totient is φ = 6285922199040.

The previous prime is 13430856863773. The next prime is 13430856863777. The reversal of 13430856863775 is 57736865803431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13430856863773) and next prime (13430856863777).

It is not a de Polignac number, because 13430856863775 - 2¹ = 13430856863773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430856863771) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3476792494 + ... + 3476796356.

It is an arithmetic number, because the mean of its divisors is an integer number (130763880576).

Almost surely, 2^{13430856863775} is an apocalyptic number.

13430856863775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13430856863775 is a deficient number, since it is larger than the sum of its proper divisors (11675808206817).

13430856863775 is a wasteful number, since it uses less digits than its factorization.

13430856863775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 66.

The spelling of 13430856863775 in words is "thirteen trillion, four hundred thirty billion, eight hundred fifty-six million, eight hundred sixty-three thousand, seven hundred seventy-five".