16442106525504 has 224 divisors, whose sum is σ = 52749339540480. Its totient is φ = 4980723494400.

The previous prime is 16442106525491. The next prime is 16442106525517. The reversal of 16442106525504 is 40552560124461.

16442106525504 is a `hidden beast` number, since 1 + 6 + 4 + 42 + 1 + 0 + 6 + 52 + 550 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (16442106525491) and next prime (16442106525517).

It is a super-3 number, since 3×16442106525504³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16442106525504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55031239 + ... + 55329209.

Almost surely, 2^{16442106525504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16442106525504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26374669770240).

16442106525504 is an abundant number, since it is smaller than the sum of its proper divisors (36307233014976).

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

16442106525504 is a wasteful number, since it uses less digits than its factorization.

16442106525504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300906 (or 300890 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 16442106525504 its reverse (40552560124461), we get a palindrome (56994666649965).

The spelling of 16442106525504 in words is "sixteen trillion, four hundred forty-two billion, one hundred six million, five hundred twenty-five thousand, five hundred four".