16216414270056 has 1152 divisors, whose sum is σ = 64604015078400. Its totient is φ = 3659159162880.

The previous prime is 16216414270019. The next prime is 16216414270099. The reversal of 16216414270056 is 65007241461261.

16216414270056 is a `hidden beast` number, since 1 + 6 + 216 + 4 + 1 + 427 + 0 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16216414269993 and 16216414270020.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 812313531 + ... + 812333493.

It is an arithmetic number, because the mean of its divisors is an integer number (56079874200).

Almost surely, 2^{16216414270056} 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 16216414270056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32302007539200).

16216414270056 is an abundant number, since it is smaller than the sum of its proper divisors (48387600808344).

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

16216414270056 is a wasteful number, since it uses less digits than its factorization.

16216414270056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20056 (or 20016 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 16216414270056 in words is "sixteen trillion, two hundred sixteen billion, four hundred fourteen million, two hundred seventy thousand, fifty-six".