13808327385600 has 600 divisors, whose sum is σ = 55751647322448. Its totient is φ = 3347470540800.

The previous prime is 13808327385551. The next prime is 13808327385631. The reversal of 13808327385600 is 658372380831.

13808327385600 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 8 + 3 + 2 + 73 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10799427 + ... + 12010173.

Almost surely, 2^{13808327385600} is an apocalyptic number.

13808327385600 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 13808327385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27875823661224).

13808327385600 is an abundant number, since it is smaller than the sum of its proper divisors (41943319936848).

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

13808327385600 is a wasteful number, since it uses less digits than its factorization.

13808327385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210798 (or 1210768 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13808327385600 in words is "thirteen trillion, eight hundred eight billion, three hundred twenty-seven million, three hundred eighty-five thousand, six hundred".