10206415513665 has 128 divisors (see below), whose sum is σ = 20807423262720. Its totient is φ = 4649927192064.

The previous prime is 10206415513583. The next prime is 10206415513667. The reversal of 10206415513665 is 56631551460201.

10206415513665 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 4 + 1 + 551 + 36 + 65 = 666.

It is not a de Polignac number, because 10206415513665 - 2⁸ = 10206415513409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10206415513665.

It is not an unprimeable number, because it can be changed into a prime (10206415513667) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 557322549 + ... + 557340861.

It is an arithmetic number, because the mean of its divisors is an integer number (162557994240).

Almost surely, 2^{10206415513665} is an apocalyptic number.

10206415513665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10206415513665 is an abundant number, since it is smaller than the sum of its proper divisors (10601007749055).

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

10206415513665 is a wasteful number, since it uses less digits than its factorization.

10206415513665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20308 (or 20302 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

Adding to 10206415513665 its reverse (56631551460201), we get a palindrome (66837966973866).

The spelling of 10206415513665 in words is "ten trillion, two hundred six billion, four hundred fifteen million, five hundred thirteen thousand, six hundred sixty-five".