16052306286240 has 288 divisors, whose sum is σ = 62607186061056. Its totient is φ = 3668911534080.

The previous prime is 16052306286221. The next prime is 16052306286257. The reversal of 16052306286240 is 4268260325061.

16052306286240 is a `hidden beast` number, since 1 + 6 + 0 + 523 + 0 + 6 + 2 + 86 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 334238869 + ... + 334286891.

It is an arithmetic number, because the mean of its divisors is an integer number (217386062712).

Almost surely, 2^{16052306286240} is an apocalyptic number.

16052306286240 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 16052306286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31303593030528).

16052306286240 is an abundant number, since it is smaller than the sum of its proper divisors (46554879774816).

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

16052306286240 is a wasteful number, since it uses less digits than its factorization.

16052306286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81212 (or 81201 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 16052306286240 in words is "sixteen trillion, fifty-two billion, three hundred six million, two hundred eighty-six thousand, two hundred forty".