16205054515936 has 288 divisors, whose sum is σ = 39040715417760. Its totient is φ = 6558864998400.

The previous prime is 16205054515889. The next prime is 16205054515987. The reversal of 16205054515936 is 63951545050261.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 217034386 + ... + 217109038.

It is an arithmetic number, because the mean of its divisors is an integer number (135558039645).

Almost surely, 2^{16205054515936} is an apocalyptic number.

16205054515936 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 16205054515936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19520357708880).

16205054515936 is an abundant number, since it is smaller than the sum of its proper divisors (22835660901824).

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

16205054515936 is a wasteful number, since it uses less digits than its factorization.

16205054515936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74830 (or 74809 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 52.

The spelling of 16205054515936 in words is "sixteen trillion, two hundred five billion, fifty-four million, five hundred fifteen thousand, nine hundred thirty-six".