13088386080 has 1152 divisors, whose sum is σ = 59524416000. Its totient is φ = 2682408960.

The previous prime is 13088386079. The next prime is 13088386097. The reversal of 13088386080 is 8068388031.

13088386080 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 8 + 38 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179292924 + ... + 179292996.

It is an arithmetic number, because the mean of its divisors is an integer number (51670500).

Almost surely, 2^13088386080 is an apocalyptic number.

13088386080 is a gapful number since it is divisible by the number (10) 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 13088386080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29762208000).

13088386080 is an abundant number, since it is smaller than the sum of its proper divisors (46436029920).

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

13088386080 is a wasteful number, since it uses less digits than its factorization.

13088386080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 13088386080 in words is "thirteen billion, eighty-eight million, three hundred eighty-six thousand, eighty".