13376505600 has 486 divisors, whose sum is σ = 50107617560. Its totient is φ = 3404206080.

The previous prime is 13376505559. The next prime is 13376505613. The reversal of 13376505600 is 650567331.

It is a happy number.

13376505600 is a `hidden beast` number, since 1 + 3 + 37 + 65 + 0 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 30470181 + ... + 30470619.

Almost surely, 2^13376505600 is an apocalyptic number.

13376505600 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 13376505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25053808780).

13376505600 is an abundant number, since it is smaller than the sum of its proper divisors (36731111960).

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

13376505600 is a wasteful number, since it uses less digits than its factorization.

13376505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 13376505600 in words is "thirteen billion, three hundred seventy-six million, five hundred five thousand, six hundred".