16536269385900 has 1152 divisors, whose sum is σ = 59729897041920. Its totient is φ = 3939861254400.

The previous prime is 16536269385833. The next prime is 16536269385907. The reversal of 16536269385900 is 958396263561.

16536269385900 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 6 + 2 + 6 + 9 + 38 + 590 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (16536269385907) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 58432047159 + ... + 58432047441.

It is an arithmetic number, because the mean of its divisors is an integer number (51848868960).

Almost surely, 2^{16536269385900} is an apocalyptic number.

16536269385900 is a gapful number since it is divisible by the number (10) 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 16536269385900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29864948520960).

16536269385900 is an abundant number, since it is smaller than the sum of its proper divisors (43193627656020).

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

16536269385900 is a wasteful number, since it uses less digits than its factorization.

16536269385900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 16536269385900 in words is "sixteen trillion, five hundred thirty-six billion, two hundred sixty-nine million, three hundred eighty-five thousand, nine hundred".