16101775872 has 960 divisors, whose sum is σ = 62915973120. Its totient is φ = 3845947392.

The previous prime is 16101775867. The next prime is 16101775883. The reversal of 16101775872 is 27857710161.

16101775872 is a `hidden beast` number, since 1 + 61 + 0 + 1 + 7 + 7 + 587 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 342590953 + ... + 342590999.

It is an arithmetic number, because the mean of its divisors is an integer number (65537472).

Almost surely, 2^16101775872 is an apocalyptic number.

16101775872 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 16101775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31457986560).

16101775872 is an abundant number, since it is smaller than the sum of its proper divisors (46814197248).

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

16101775872 is a wasteful number, since it uses less digits than its factorization.

16101775872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 45.

The spelling of 16101775872 in words is "sixteen billion, one hundred one million, seven hundred seventy-five thousand, eight hundred seventy-two".