13376988000 has 960 divisors, whose sum is σ = 53941567680. Its totient is φ = 3234816000.

The previous prime is 13376987989. The next prime is 13376988043. The reversal of 13376988000 is 88967331.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 252395974 + ... + 252396026.

It is an arithmetic number, because the mean of its divisors is an integer number (56189133).

Almost surely, 2^13376988000 is an apocalyptic number.

13376988000 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 13376988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26970783840).

13376988000 is an abundant number, since it is smaller than the sum of its proper divisors (40564579680).

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

13376988000 is a wasteful number, since it uses less digits than its factorization.

13376988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13376988000 in words is "thirteen billion, three hundred seventy-six million, nine hundred eighty-eight thousand".