10005713202650 has 288 divisors, whose sum is σ = 22239264096000. Its totient is φ = 3335539046400.

The previous prime is 10005713202647. The next prime is 10005713202691. The reversal of 10005713202650 is 5620231750001.

It is a super-2 number, since 2×10005713202650² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 480825446 + ... + 480846254.

It is an arithmetic number, because the mean of its divisors is an integer number (77219667000).

Almost surely, 2^{10005713202650} is an apocalyptic number.

10005713202650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005713202650 is an abundant number, since it is smaller than the sum of its proper divisors (12233550893350).

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

10005713202650 is a wasteful number, since it uses less digits than its factorization.

10005713202650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20998 (or 20982 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

Adding to 10005713202650 its reverse (5620231750001), we get a palindrome (15625944952651).

The spelling of 10005713202650 in words is "ten trillion, five billion, seven hundred thirteen million, two hundred two thousand, six hundred fifty".