13138556400 has 600 divisors, whose sum is σ = 49533845504. Its totient is φ = 3331238400.

The previous prime is 13138556399. The next prime is 13138556407. The reversal of 13138556400 is 465583131.

13138556400 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 8 + 5 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138556407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 103453137 + ... + 103453263.

Almost surely, 2^13138556400 is an apocalyptic number.

13138556400 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 13138556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766922752).

13138556400 is an abundant number, since it is smaller than the sum of its proper divisors (36395289104).

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

13138556400 is a wasteful number, since it uses less digits than its factorization.

13138556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13138556400 in words is "thirteen billion, one hundred thirty-eight million, five hundred fifty-six thousand, four hundred".