13155405120 has 672 divisors, whose sum is σ = 56316798720. Its totient is φ = 2769223680.

The previous prime is 13155405113. The next prime is 13155405143. The reversal of 13155405120 is 2150455131.

13155405120 is a `hidden beast` number, since 131 + 5 + 5 + 405 + 120 = 666.

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, 7000341 + ... + 7002219.

It is an arithmetic number, because the mean of its divisors is an integer number (83804760).

Almost surely, 2^13155405120 is an apocalyptic number.

13155405120 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 13155405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28158399360).

13155405120 is an abundant number, since it is smaller than the sum of its proper divisors (43161393600).

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

13155405120 is a wasteful number, since it uses less digits than its factorization.

13155405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 13155405120 in words is "thirteen billion, one hundred fifty-five million, four hundred five thousand, one hundred twenty".