16835505071616 has 480 divisors, whose sum is σ = 60600675522816. Its totient is φ = 4371204096000.

The previous prime is 16835505071599. The next prime is 16835505071617. The reversal of 16835505071616 is 61617050553861.

16835505071616 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 5 + 505 + 0 + 71 + 61 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16835505071617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1142854971 + ... + 1142869701.

Almost surely, 2^{16835505071616} is an apocalyptic number.

16835505071616 is a gapful number since it is divisible by the number (16) 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 16835505071616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30300337761408).

16835505071616 is an abundant number, since it is smaller than the sum of its proper divisors (43765170451200).

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

16835505071616 is a wasteful number, since it uses less digits than its factorization.

16835505071616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17994 (or 17975 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 16835505071616 in words is "sixteen trillion, eight hundred thirty-five billion, five hundred five million, seventy-one thousand, six hundred sixteen".