16935381504 has 420 divisors, whose sum is σ = 54236450334. Its totient is φ = 5279219712.

The previous prime is 16935381479. The next prime is 16935381509. The reversal of 16935381504 is 40518353961.

16935381504 is a `hidden beast` number, since 1 + 6 + 93 + 53 + 8 + 1 + 504 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16240953600 + 694427904 = 127440^2 + 26352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16935381504.

It is not an unprimeable number, because it can be changed into a prime (16935381509) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 107868594 + ... + 107868750.

Almost surely, 2^16935381504 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 16935381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27118225167).

16935381504 is an abundant number, since it is smaller than the sum of its proper divisors (37301068830).

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

16935381504 is an frugal number, since it uses more digits than its factorization.

16935381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 16935381504 in words is "sixteen billion, nine hundred thirty-five million, three hundred eighty-one thousand, five hundred four".