13358551920 has 320 divisors, whose sum is σ = 49985372160. Its totient is φ = 2882995200.

The previous prime is 13358551889. The next prime is 13358551951. The reversal of 13358551920 is 2915585331.

13358551920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13358551889) and next prime (13358551951).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13757035 + ... + 13758005.

It is an arithmetic number, because the mean of its divisors is an integer number (156204288).

Almost surely, 2^13358551920 is an apocalyptic number.

13358551920 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 13358551920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24992686080).

13358551920 is an abundant number, since it is smaller than the sum of its proper divisors (36626820240).

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

13358551920 is a wasteful number, since it uses less digits than its factorization.

13358551920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 13358551920 in words is "thirteen billion, three hundred fifty-eight million, five hundred fifty-one thousand, nine hundred twenty".