13420377585 has 12 divisors (see below), whose sum is σ = 23261987892. Its totient is φ = 7157534688.

The previous prime is 13420377533. The next prime is 13420377599. The reversal of 13420377585 is 58577302431.

13420377585 is a `hidden beast` number, since 1 + 34 + 2 + 0 + 37 + 7 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8812140129 + 4608237456 = 93873^2 + 67884^2 .

It is not a de Polignac number, because 13420377585 - 2¹¹ = 13420375537 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 298230613 = 13420377585 / (1 + 3 + 4 + 2 + 0 + 3 + 7 + 7 + 5 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 13420377585.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149115262 + ... + 149115351.

It is an arithmetic number, because the mean of its divisors is an integer number (1938498991).

Almost surely, 2^13420377585 is an apocalyptic number.

13420377585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13420377585 is a deficient number, since it is larger than the sum of its proper divisors (9841610307).

13420377585 is a wasteful number, since it uses less digits than its factorization.

13420377585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298230624 (or 298230621 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 13420377585 in words is "thirteen billion, four hundred twenty million, three hundred seventy-seven thousand, five hundred eighty-five".