13376836800 has 336 divisors, whose sum is σ = 50887457280. Its totient is φ = 3411809280.

The previous prime is 13376836687. The next prime is 13376836813. The reversal of 13376836800 is 863867331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986869 + ... + 1000331.

Almost surely, 2^13376836800 is an apocalyptic number.

13376836800 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 13376836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25443728640).

13376836800 is an abundant number, since it is smaller than the sum of its proper divisors (37510620480).

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

13376836800 is a wasteful number, since it uses less digits than its factorization.

13376836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13517 (or 13496 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13376836800 in words is "thirteen billion, three hundred seventy-six million, eight hundred thirty-six thousand, eight hundred".