13117867488000 has 2880 divisors, whose sum is σ = 57310000675200. Its totient is φ = 2943959040000.

The previous prime is 13117867487999. The next prime is 13117867488083. The reversal of 13117867488000 is 88476871131.

13117867488000 is a `hidden beast` number, since 1 + 31 + 1 + 78 + 67 + 488 + 0 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 215047007970 + ... + 215047008030.

It is an arithmetic number, because the mean of its divisors is an integer number (19899305790).

Almost surely, 2^{13117867488000} is an apocalyptic number.

13117867488000 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 13117867488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28655000337600).

13117867488000 is an abundant number, since it is smaller than the sum of its proper divisors (44192133187200).

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

13117867488000 is an frugal number, since it uses more digits than its factorization.

13117867488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 13117867488000 in words is "thirteen trillion, one hundred seventeen billion, eight hundred sixty-seven million, four hundred eighty-eight thousand".