16506473200056 has 384 divisors, whose sum is σ = 55313024532480. Its totient is φ = 4339149447168.

The previous prime is 16506473200033. The next prime is 16506473200057. The reversal of 16506473200056 is 65000237460561.

16506473200056 is a `hidden beast` number, since 1 + 6 + 506 + 4 + 73 + 20 + 0 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16506473199984 and 16506473200020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16506473200057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347502900 + ... + 347550396.

It is an arithmetic number, because the mean of its divisors is an integer number (144044334720).

Almost surely, 2^{16506473200056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16506473200056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27656512266240).

16506473200056 is an abundant number, since it is smaller than the sum of its proper divisors (38806551332424).

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

16506473200056 is a wasteful number, since it uses less digits than its factorization.

16506473200056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48443 (or 48436 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 16506473200056 in words is "sixteen trillion, five hundred six billion, four hundred seventy-three million, two hundred thousand, fifty-six".