13187697868800 has 3078 divisors, whose sum is σ = 61710364572948. Its totient is φ = 2782459330560.

The previous prime is 13187697868757. The next prime is 13187697868811. The reversal of 13187697868800 is 886879678131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13187697868800 is a `hidden beast` number, since 1 + 318 + 76 + 97 + 86 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1014438297594 + ... + 1014438297606.

Almost surely, 2^{13187697868800} is an apocalyptic number.

13187697868800 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 13187697868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30855182286474).

13187697868800 is an abundant number, since it is smaller than the sum of its proper divisors (48522666704148).

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

13187697868800 is an frugal number, since it uses more digits than its factorization.

13187697868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

13187697868800 divided by its product of nonzero digits (195084288) gives a square (67600 = 260²).

The spelling of 13187697868800 in words is "thirteen trillion, one hundred eighty-seven billion, six hundred ninety-seven million, eight hundred sixty-eight thousand, eight hundred".