13872496320 has 224 divisors, whose sum is σ = 49227272640. Its totient is φ = 3677552640.

The previous prime is 13872496273. The next prime is 13872496327. The reversal of 13872496320 is 2369427831.

13872496320 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 2 + 4 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13872496327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1490080 + ... + 1499360.

It is an arithmetic number, because the mean of its divisors is an integer number (219764610).

Almost surely, 2^13872496320 is an apocalyptic number.

13872496320 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 13872496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24613636320).

13872496320 is an abundant number, since it is smaller than the sum of its proper divisors (35354776320).

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

13872496320 is a wasteful number, since it uses less digits than its factorization.

13872496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480 (or 9464 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13872496320 in words is "thirteen billion, eight hundred seventy-two million, four hundred ninety-six thousand, three hundred twenty".