16505338367232 has 2160 divisors, whose sum is σ = 64684299822912. Its totient is φ = 4112058286080.

The previous prime is 16505338367227. The next prime is 16505338367257. The reversal of 16505338367232 is 23276383350561.

It is a happy number.

16505338367232 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 533 + 8 + 3 + 6 + 72 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18197726523 + ... + 18197727429.

Almost surely, 2^{16505338367232} is an apocalyptic number.

16505338367232 is a gapful number since it is divisible by the number (12) 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 16505338367232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32342149911456).

16505338367232 is an abundant number, since it is smaller than the sum of its proper divisors (48178961455680).

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

16505338367232 is a wasteful number, since it uses less digits than its factorization.

16505338367232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 16505338367232 in words is "sixteen trillion, five hundred five billion, three hundred thirty-eight million, three hundred sixty-seven thousand, two hundred thirty-two".