13168141920000 has 720 divisors, whose sum is σ = 48910230341280. Its totient is φ = 3493453824000.

The previous prime is 13168141919939. The next prime is 13168141920029. The reversal of 13168141920000 is 2914186131.

13168141920000 is a `hidden beast` number, since 1 + 31 + 6 + 8 + 1 + 419 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13168141920000² (a number of 27 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 851032264 + ... + 851047736.

It is an arithmetic number, because the mean of its divisors is an integer number (67930875474).

Almost surely, 2^{13168141920000} is an apocalyptic number.

13168141920000 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 13168141920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455115170640).

13168141920000 is an abundant number, since it is smaller than the sum of its proper divisors (35742088421280).

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

13168141920000 is an equidigital number, since it uses as much as digits as its factorization.

13168141920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15715 (or 15680 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 13168141920000 in words is "thirteen trillion, one hundred sixty-eight billion, one hundred forty-one million, nine hundred twenty thousand".