13495337856000 has 5632 divisors, whose sum is σ = 69218506506240. Its totient is φ = 2502918144000.

The previous prime is 13495337855957. The next prime is 13495337856023. The reversal of 13495337856000 is 65873359431.

13495337856000 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 5 + 3 + 3 + 78 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 162594431959 + ... + 162594432041.

Almost surely, 2^{13495337856000} is an apocalyptic number.

13495337856000 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 13495337856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34609253253120).

13495337856000 is an abundant number, since it is smaller than the sum of its proper divisors (55723168650240).

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

13495337856000 is a wasteful number, since it uses less digits than its factorization.

13495337856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 13495337856000 in words is "thirteen trillion, four hundred ninety-five billion, three hundred thirty-seven million, eight hundred fifty-six thousand".