13629809521020 has 288 divisors, whose sum is σ = 48475844153856. Its totient is φ = 2829491750400.

The previous prime is 13629809521007. The next prime is 13629809521061. The reversal of 13629809521020 is 2012590892631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34114129 + ... + 34511351.

It is an arithmetic number, because the mean of its divisors is an integer number (168318903312).

Almost surely, 2^{13629809521020} is an apocalyptic number.

13629809521020 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 13629809521020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24237922076928).

13629809521020 is an abundant number, since it is smaller than the sum of its proper divisors (34846034632836).

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

13629809521020 is a wasteful number, since it uses less digits than its factorization.

13629809521020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398321 (or 398312 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 13629809521020 in words is "thirteen trillion, six hundred twenty-nine billion, eight hundred nine million, five hundred twenty-one thousand, twenty".