13755801600 has 504 divisors, whose sum is σ = 52290604080. Its totient is φ = 3444572160.

The previous prime is 13755801571. The next prime is 13755801601. The reversal of 13755801600 is 610855731.

13755801600 is a `hidden beast` number, since 1 + 3 + 75 + 580 + 1 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13755801601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31334181 + ... + 31334619.

Almost surely, 2^13755801600 is an apocalyptic number.

13755801600 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 13755801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26145302040).

13755801600 is an abundant number, since it is smaller than the sum of its proper divisors (38534802480).

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

13755801600 is a wasteful number, since it uses less digits than its factorization.

13755801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 13755801600 in words is "thirteen billion, seven hundred fifty-five million, eight hundred one thousand, six hundred".