13277088000 has 864 divisors, whose sum is σ = 54283407360. Its totient is φ = 3193344000.

The previous prime is 13277087981. The next prime is 13277088049. The reversal of 13277088000 is 88077231.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 104543937 + ... + 104544063.

Almost surely, 2^13277088000 is an apocalyptic number.

13277088000 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 13277088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141703680).

13277088000 is an abundant number, since it is smaller than the sum of its proper divisors (41006319360).

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

13277088000 is a wasteful number, since it uses less digits than its factorization.

13277088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 13277088000 in words is "thirteen billion, two hundred seventy-seven million, eighty-eight thousand".