13086977382 has 72 divisors (see below), whose sum is σ = 29679826176. Its totient is φ = 4327425648.

The previous prime is 13086977363. The next prime is 13086977401. The reversal of 13086977382 is 28377968031.

13086977382 is a `hidden beast` number, since 130 + 8 + 69 + 77 + 382 = 666.

It is an interprime number because it is at equal distance from previous prime (13086977363) and next prime (13086977401).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1662568 + ... + 1670420.

It is an arithmetic number, because the mean of its divisors is an integer number (412219808).

Almost surely, 2^13086977382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13086977382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839913088).

13086977382 is an abundant number, since it is smaller than the sum of its proper divisors (16592848794).

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

13086977382 is an frugal number, since it uses more digits than its factorization.

13086977382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13086977382 in words is "thirteen billion, eighty-six million, nine hundred seventy-seven thousand, three hundred eighty-two".