13864682520 has 640 divisors, whose sum is σ = 54117201600. Its totient is φ = 3164147712.

The previous prime is 13864682473. The next prime is 13864682561. The reversal of 13864682520 is 2528646831.

13864682520 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 46 + 82 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 206935527 + ... + 206935593.

Almost surely, 2^13864682520 is an apocalyptic number.

13864682520 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 13864682520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27058600800).

13864682520 is an abundant number, since it is smaller than the sum of its proper divisors (40252519080).

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

13864682520 is a wasteful number, since it uses less digits than its factorization.

13864682520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 13864682520 in words is "thirteen billion, eight hundred sixty-four million, six hundred eighty-two thousand, five hundred twenty".