13827620800 has 168 divisors, whose sum is σ = 39467763584. Its totient is φ = 4669885440.

The previous prime is 13827620743. The next prime is 13827620809. The reversal of 13827620800 is 802672831.

It is a self number, because there is not a number n which added to its sum of digits gives 13827620800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13827620809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741187 + ... + 759613.

Almost surely, 2^13827620800 is an apocalyptic number.

13827620800 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 13827620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19733881792).

13827620800 is an abundant number, since it is smaller than the sum of its proper divisors (25640142784).

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

13827620800 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (13827620799) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (18508).

13827620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18523 (or 18508 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 13827620800 in words is "thirteen billion, eight hundred twenty-seven million, six hundred twenty thousand, eight hundred".