13168612800 has 504 divisors, whose sum is σ = 55850911920. Its totient is φ = 3009484800.

The previous prime is 13168612799. The next prime is 13168612801. The reversal of 13168612800 is 821686131.

13168612800 is a `hidden beast` number, since 1 + 31 + 6 + 8 + 612 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13168612799) and next prime (13168612801).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13168612801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2113690 + ... + 2119910.

Almost surely, 2^13168612800 is an apocalyptic number.

13168612800 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 13168612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27925455960).

13168612800 is an abundant number, since it is smaller than the sum of its proper divisors (42682299120).

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

13168612800 is a wasteful number, since it uses less digits than its factorization.

13168612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13168612800 in words is "thirteen billion, one hundred sixty-eight million, six hundred twelve thousand, eight hundred".