13761599085 has 216 divisors, whose sum is σ = 28342316184. Its totient is φ = 6374142720.

The previous prime is 13761599083. The next prime is 13761599099. The reversal of 13761599085 is 58099516731.

13761599085 is a `hidden beast` number, since 13 + 7 + 615 + 9 + 9 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419963049 + 13341636036 = 20493^2 + 115506^2 .

It is not a de Polignac number, because 13761599085 - 2¹ = 13761599083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13761599083) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 225599955 + ... + 225600015.

Almost surely, 2^13761599085 is an apocalyptic number.

13761599085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13761599085 is an abundant number, since it is smaller than the sum of its proper divisors (14580717099).

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

13761599085 is an frugal number, since it uses more digits than its factorization.

13761599085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 13761599085 in words is "thirteen billion, seven hundred sixty-one million, five hundred ninety-nine thousand, eighty-five".