10002302079336 has 832 divisors, whose sum is σ = 34628673840000. Its totient is φ = 2707390036512.

The previous prime is 10002302079311. The next prime is 10002302079349. The reversal of 10002302079336 is 63397020320001.

The cubic root of 10002302079336 is 21546.

It is a perfect power (a cube), and thus also a powerful number.

10002302079336 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 230 + 20 + 79 + 336 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10002302079336.

It is an unprimeable number.

It is a polite number, since it can be written in 207 ways as a sum of consecutive naturals, for example, 526436951535 + ... + 526436951553.

Almost surely, 2^{10002302079336} 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 10002302079336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314336920000).

10002302079336 is an abundant number, since it is smaller than the sum of its proper divisors (24626371760664).

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

10002302079336 is an frugal number, since it uses more digits than its factorization.

10002302079336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

Adding to 10002302079336 its reverse (63397020320001), we get a palindrome (73399322399337).

The spelling of 10002302079336 in words is "ten trillion, two billion, three hundred two million, seventy-nine thousand, three hundred thirty-six".