13055159040 has 576 divisors, whose sum is σ = 52839198720. Its totient is φ = 2668216320.

The previous prime is 13055158999. The next prime is 13055159041. The reversal of 13055159040 is 4095155031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13055158992 and 13055159010.

It is not an unprimeable number, because it can be changed into a prime (13055159041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19810231 + ... + 19810889.

It is an arithmetic number, because the mean of its divisors is an integer number (91734720).

Almost surely, 2^13055159040 is an apocalyptic number.

13055159040 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 13055159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26419599360).

13055159040 is an abundant number, since it is smaller than the sum of its proper divisors (39784039680).

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

13055159040 is a wasteful number, since it uses less digits than its factorization.

13055159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 13055159040 in words is "thirteen billion, fifty-five million, one hundred fifty-nine thousand, forty".