13218725520 has 480 divisors, whose sum is σ = 59607684864. Its totient is φ = 2535321600.

The previous prime is 13218725519. The next prime is 13218725521. The reversal of 13218725520 is 2552781231.

13218725520 is a `hidden beast` number, since 1 + 3 + 21 + 87 + 2 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13218725519) and next prime (13218725521).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13218725521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 711550 + ... + 729890.

Almost surely, 2^13218725520 is an apocalyptic number.

13218725520 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 13218725520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29803842432).

13218725520 is an abundant number, since it is smaller than the sum of its proper divisors (46388959344).

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

13218725520 is a wasteful number, since it uses less digits than its factorization.

13218725520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18391 (or 18382 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 13218725520 in words is "thirteen billion, two hundred eighteen million, seven hundred twenty-five thousand, five hundred twenty".