13827758400 has 672 divisors, whose sum is σ = 53283672960. Its totient is φ = 3483648000.

The previous prime is 13827758369. The next prime is 13827758419. The reversal of 13827758400 is 485772831.

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 95 ways as a sum of consecutive naturals, for example, 65534295 + ... + 65534505.

It is an arithmetic number, because the mean of its divisors is an integer number (79291180).

Almost surely, 2^13827758400 is an apocalyptic number.

13827758400 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 13827758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26641836480).

13827758400 is an abundant number, since it is smaller than the sum of its proper divisors (39455914560).

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

13827758400 is a wasteful number, since it uses less digits than its factorization.

13827758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 13827758400 in words is "thirteen billion, eight hundred twenty-seven million, seven hundred fifty-eight thousand, four hundred".