16100807933952 has 1344 divisors, whose sum is σ = 59431581619200. Its totient is φ = 4256245481472.

The previous prime is 16100807933887. The next prime is 16100807933957. The reversal of 16100807933952 is 25933970800161.

16100807933952 is a `hidden beast` number, since 1 + 6 + 100 + 80 + 79 + 3 + 395 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×16100807933952² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16100807933957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272895049699 + ... + 272895049757.

It is an arithmetic number, because the mean of its divisors is an integer number (44219926800).

Almost surely, 2^{16100807933952} is an apocalyptic number.

16100807933952 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 16100807933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29715790809600).

16100807933952 is an abundant number, since it is smaller than the sum of its proper divisors (43330773685248).

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

16100807933952 is an frugal number, since it uses more digits than its factorization.

16100807933952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 16100807933952 in words is "sixteen trillion, one hundred billion, eight hundred seven million, nine hundred thirty-three thousand, nine hundred fifty-two".