10064333215120 has 20 divisors (see below), whose sum is σ = 23399574725340. Its totient is φ = 4025733286016.

The previous prime is 10064333215091. The next prime is 10064333215129. The reversal of 10064333215120 is 2151233346001.

It can be written as a sum of positive squares in 2 ways, for example, as 4687796577424 + 5376536637696 = 2165132^2 + 2318736^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10064333215120² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10064333215129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62902082515 + ... + 62902082674.

It is an arithmetic number, because the mean of its divisors is an integer number (1169978736267).

Almost surely, 2^{10064333215120} is an apocalyptic number.

10064333215120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10064333215120 is an abundant number, since it is smaller than the sum of its proper divisors (13335241510220).

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

10064333215120 is a wasteful number, since it uses less digits than its factorization.

10064333215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125804165202 (or 125804165196 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 10064333215120 in words is "ten trillion, sixty-four billion, three hundred thirty-three million, two hundred fifteen thousand, one hundred twenty".