13163928940800 has 648 divisors, whose sum is σ = 51366378903840. Its totient is φ = 3189775564800.

The previous prime is 13163928940787. The next prime is 13163928940817. The reversal of 13163928940800 is 804982936131.

13163928940800 is a `hidden beast` number, since 1 + 316 + 3 + 9 + 289 + 40 + 8 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2063632011 + ... + 2063638389.

Almost surely, 2^{13163928940800} is an apocalyptic number.

13163928940800 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 13163928940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25683189451920).

13163928940800 is an abundant number, since it is smaller than the sum of its proper divisors (38202449963040).

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

13163928940800 is a wasteful number, since it uses less digits than its factorization.

13163928940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9679 (or 9657 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 13163928940800 in words is "thirteen trillion, one hundred sixty-three billion, nine hundred twenty-eight million, nine hundred forty thousand, eight hundred".