16002640015625 has 28 divisors (see below), whose sum is σ = 21179693974572. Its totient is φ = 12049046400000.

The previous prime is 16002640015487. The next prime is 16002640015627. The reversal of 16002640015625 is 52651004620061.

It can be written as a sum of positive squares in 14 ways, for example, as 15014222282761 + 988417732864 = 3874819^2 + 994192^2 .

It is a de Polignac number, because none of the positive numbers 2^k-16002640015625 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16002640015627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29856992 + ... + 30388241.

It is an arithmetic number, because the mean of its divisors is an integer number (756417641949).

Almost surely, 2^{16002640015625} is an apocalyptic number.

It is an amenable number.

16002640015625 is a deficient number, since it is larger than the sum of its proper divisors (5177053958947).

16002640015625 is an frugal number, since it uses more digits than its factorization.

16002640015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60245280 (or 60245255 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

Adding to 16002640015625 its reverse (52651004620061), we get a palindrome (68653644635686).

The spelling of 16002640015625 in words is "sixteen trillion, two billion, six hundred forty million, fifteen thousand, six hundred twenty-five".