16442020260252 has 72 divisors (see below), whose sum is σ = 41702509168320. Its totient is φ = 5462137791360.

The previous prime is 16442020260221. The next prime is 16442020260257. The reversal of 16442020260252 is 25206202024461.

16442020260252 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 20 + 20 + 2 + 602 + 5 + 2 = 666.

It is a super-3 number, since 3×16442020260252³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442020260257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16762038 + ... + 17715810.

Almost surely, 2^{16442020260252} is an apocalyptic number.

16442020260252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16442020260252 is an abundant number, since it is smaller than the sum of its proper divisors (25260488908068).

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

16442020260252 is a wasteful number, since it uses less digits than its factorization.

16442020260252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955403 (or 955398 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 16442020260252 in words is "sixteen trillion, four hundred forty-two billion, twenty million, two hundred sixty thousand, two hundred fifty-two".