16538917536 has 216 divisors, whose sum is σ = 49906269504. Its totient is φ = 5194679040.

The previous prime is 16538917523. The next prime is 16538917537. The reversal of 16538917536 is 63571983561.

16538917536 is a `hidden beast` number, since 1 + 6 + 538 + 9 + 1 + 75 + 36 = 666.

It is a super-2 number, since 2×16538917536² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16538917537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28175035 + ... + 28175621.

It is an arithmetic number, because the mean of its divisors is an integer number (231047544).

Almost surely, 2^16538917536 is an apocalyptic number.

16538917536 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 16538917536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24953134752).

16538917536 is an abundant number, since it is smaller than the sum of its proper divisors (33367351968).

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

16538917536 is a wasteful number, since it uses less digits than its factorization.

16538917536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 882 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 16538917536 in words is "sixteen billion, five hundred thirty-eight million, nine hundred seventeen thousand, five hundred thirty-six".