13168982400 has 192 divisors, whose sum is σ = 49572065280. Its totient is φ = 3010037760.

The previous prime is 13168982381. The next prime is 13168982417. The reversal of 13168982400 is 428986131.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30784 + ... + 165183.

It is an arithmetic number, because the mean of its divisors is an integer number (258187840).

Almost surely, 2^13168982400 is an apocalyptic number.

13168982400 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 13168982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24786032640).

13168982400 is an abundant number, since it is smaller than the sum of its proper divisors (36403082880).

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

13168982400 is a wasteful number, since it uses less digits than its factorization.

13168982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196001 (or 195984 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 13168982400 in words is "thirteen billion, one hundred sixty-eight million, nine hundred eighty-two thousand, four hundred".