13775128827600 has 1440 divisors, whose sum is σ = 55120096373760. Its totient is φ = 2878352547840.

The previous prime is 13775128827589. The next prime is 13775128827637. The reversal of 13775128827600 is 672882157731.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11604994207 + ... + 11604995393.

It is an arithmetic number, because the mean of its divisors is an integer number (38277844704).

Almost surely, 2^{13775128827600} is an apocalyptic number.

13775128827600 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 13775128827600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560048186880).

13775128827600 is an abundant number, since it is smaller than the sum of its proper divisors (41344967546160).

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

13775128827600 is a wasteful number, since it uses less digits than its factorization.

13775128827600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 13775128827600 in words is "thirteen trillion, seven hundred seventy-five billion, one hundred twenty-eight million, eight hundred twenty-seven thousand, six hundred".