13295016000 has 672 divisors, whose sum is σ = 56423308032. Its totient is φ = 3035750400.

The previous prime is 13295015999. The next prime is 13295016013. The reversal of 13295016000 is 61059231.

13295016000 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 50 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 13607512 + ... + 13608488.

It is an arithmetic number, because the mean of its divisors is an integer number (83963256).

Almost surely, 2^13295016000 is an apocalyptic number.

13295016000 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 13295016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28211654016).

13295016000 is an abundant number, since it is smaller than the sum of its proper divisors (43128292032).

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

13295016000 is an frugal number, since it uses more digits than its factorization.

13295016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 13295016000 in words is "thirteen billion, two hundred ninety-five million, sixteen thousand".