10165720006500 has 96 divisors (see below), whose sum is σ = 29621073710592. Its totient is φ = 2709164800000.

The previous prime is 10165720006499. The next prime is 10165720006537. The reversal of 10165720006500 is 560002756101.

10165720006500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10165720006500³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284965 + ... + 4518035.

It is an arithmetic number, because the mean of its divisors is an integer number (308552851152).

Almost surely, 2^{10165720006500} is an apocalyptic number.

10165720006500 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 10165720006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810536855296).

10165720006500 is an abundant number, since it is smaller than the sum of its proper divisors (19455353704092).

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

10165720006500 is a wasteful number, since it uses less digits than its factorization.

10165720006500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234694 (or 4234682 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 10165720006500 in words is "ten trillion, one hundred sixty-five billion, seven hundred twenty million, six thousand, five hundred".