13187987366400 has 2880 divisors, whose sum is σ = 60639558819840. Its totient is φ = 2658100838400.

The previous prime is 13187987366387. The next prime is 13187987366417. The reversal of 13187987366400 is 466378978131.

13187987366400 is a `hidden beast` number, since 1 + 3 + 1 + 87 + 98 + 7 + 3 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×13187987366400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59138956689 + ... + 59138956911.

It is an arithmetic number, because the mean of its divisors is an integer number (21055402368).

Almost surely, 2^{13187987366400} is an apocalyptic number.

13187987366400 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 13187987366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30319779409920).

13187987366400 is an abundant number, since it is smaller than the sum of its proper divisors (47451571453440).

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

13187987366400 is a wasteful number, since it uses less digits than its factorization.

13187987366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 13187987366400 in words is "thirteen trillion, one hundred eighty-seven billion, nine hundred eighty-seven million, three hundred sixty-six thousand, four hundred".