13683621377520 has 320 divisors, whose sum is σ = 50203826749440. Its totient is φ = 3413754335232.

The previous prime is 13683621377513. The next prime is 13683621377521. The reversal of 13683621377520 is 2577312638631.

13683621377520 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 3 + 621 + 3 + 7 + 7 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×13683621377520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13683621377521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5016529 + ... + 7247951.

It is an arithmetic number, because the mean of its divisors is an integer number (156886958592).

Almost surely, 2^{13683621377520} is an apocalyptic number.

13683621377520 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 13683621377520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25101913374720).

13683621377520 is an abundant number, since it is smaller than the sum of its proper divisors (36520205371920).

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

13683621377520 is a wasteful number, since it uses less digits than its factorization.

13683621377520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231629 (or 2231617 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 13683621377520 in words is "thirteen trillion, six hundred eighty-three billion, six hundred twenty-one million, three hundred seventy-seven thousand, five hundred twenty".