13776554627406 has 192 divisors, whose sum is σ = 32888463229440. Its totient is φ = 4307198561280.

The previous prime is 13776554627351. The next prime is 13776554627431. The reversal of 13776554627406 is 60472645567731.

13776554627406 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 6 + 554 + 6 + 2 + 74 + 0 + 6 = 666.

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, 3892779985 + ... + 3892783523.

It is an arithmetic number, because the mean of its divisors is an integer number (171294079320).

Almost surely, 2^{13776554627406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13776554627406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444231614720).

13776554627406 is an abundant number, since it is smaller than the sum of its proper divisors (19111908602034).

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

13776554627406 is a wasteful number, since it uses less digits than its factorization.

13776554627406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 13776554627406 in words is "thirteen trillion, seven hundred seventy-six billion, five hundred fifty-four million, six hundred twenty-seven thousand, four hundred six".