13168895040 has 336 divisors, whose sum is σ = 52826716800. Its totient is φ = 3009807360.

The previous prime is 13168895027. The next prime is 13168895063. The reversal of 13168895040 is 4059886131.

13168895040 is a `hidden beast` number, since 1 + 3 + 1 + 68 + 89 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 981175 + ... + 994505.

Almost surely, 2^13168895040 is an apocalyptic number.

13168895040 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 13168895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26413358400).

13168895040 is an abundant number, since it is smaller than the sum of its proper divisors (39657821760).

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

13168895040 is a wasteful number, since it uses less digits than its factorization.

13168895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13375 (or 13348 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13168895040 in words is "thirteen billion, one hundred sixty-eight million, eight hundred ninety-five thousand, forty".