13550127782400 has 1440 divisors, whose sum is σ = 55485338800320. Its totient is φ = 3127541760000.

The previous prime is 13550127782383. The next prime is 13550127782407. The reversal of 13550127782400 is 428772105531.

13550127782400 is a `hidden beast` number, since 1 + 3 + 5 + 50 + 127 + 78 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13550127782407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2682659875 + ... + 2682664925.

It is an arithmetic number, because the mean of its divisors is an integer number (38531485278).

Almost surely, 2^{13550127782400} is an apocalyptic number.

13550127782400 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 13550127782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27742669400160).

13550127782400 is an abundant number, since it is smaller than the sum of its proper divisors (41935211017920).

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

13550127782400 is a wasteful number, since it uses less digits than its factorization.

13550127782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

Adding to 13550127782400 its reverse (428772105531), we get a palindrome (13978899887931).

The spelling of 13550127782400 in words is "thirteen trillion, five hundred fifty billion, one hundred twenty-seven million, seven hundred eighty-two thousand, four hundred".