13006155456 has 252 divisors, whose sum is σ = 45918946008. Its totient is φ = 3497324544.

The previous prime is 13006155403. The next prime is 13006155523. The reversal of 13006155456 is 65455160031.

13006155456 is a `hidden beast` number, since 1 + 30 + 0 + 615 + 5 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13006155456.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 466255 + ... + 493361.

Almost surely, 2^13006155456 is an apocalyptic number.

13006155456 is a gapful number since it is divisible by the number (16) 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 13006155456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22959473004).

13006155456 is an abundant number, since it is smaller than the sum of its proper divisors (32912790552).

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

13006155456 is a wasteful number, since it uses less digits than its factorization.

13006155456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27156 (or 27136 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 13006155456 in words is "thirteen billion, six million, one hundred fifty-five thousand, four hundred fifty-six".