13086471888 has 320 divisors, whose sum is σ = 46017054720. Its totient is φ = 3475519488.

The previous prime is 13086471887. The next prime is 13086471899. The reversal of 13086471888 is 88817468031.

It is a happy number.

13086471888 is a `hidden beast` number, since 13 + 0 + 86 + 471 + 8 + 88 = 666.

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 (13086471887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4265331 + ... + 4268397.

It is an arithmetic number, because the mean of its divisors is an integer number (143803296).

Almost surely, 2^13086471888 is an apocalyptic number.

13086471888 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 13086471888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23008527360).

13086471888 is an abundant number, since it is smaller than the sum of its proper divisors (32930582832).

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

13086471888 is a wasteful number, since it uses less digits than its factorization.

13086471888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 13086471888 in words is "thirteen billion, eighty-six million, four hundred seventy-one thousand, eight hundred eighty-eight".