13238515840 has 128 divisors (see below), whose sum is σ = 34862555520. Its totient is φ = 4767006720.

The previous prime is 13238515813. The next prime is 13238515847. The reversal of 13238515840 is 4851583231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×13238515840⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13238515793 and 13238515802.

It is not an unprimeable number, because it can be changed into a prime (13238515847) 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 15 ways as a sum of consecutive naturals, for example, 715992 + ... + 734248.

It is an arithmetic number, because the mean of its divisors is an integer number (272363715).

Almost surely, 2^13238515840 is an apocalyptic number.

13238515840 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 13238515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431277760).

13238515840 is an abundant number, since it is smaller than the sum of its proper divisors (21624039680).

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

13238515840 is a wasteful number, since it uses less digits than its factorization.

13238515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18390 (or 18378 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

It can be divided in two parts, 132385 and 15840, that added together give a square (148225 = 385²).

The spelling of 13238515840 in words is "thirteen billion, two hundred thirty-eight million, five hundred fifteen thousand, eight hundred forty".