10206413516560 has 40 divisors (see below), whose sum is σ = 25125788572056. Its totient is φ = 3842414499840.

The previous prime is 10206413516527. The next prime is 10206413516587. The reversal of 10206413516560 is 6561531460201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2424523039744 + 7781890476816 = 1557088^2 + 2789604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3752356551 + ... + 3752359270.

Almost surely, 2^{10206413516560} is an apocalyptic number.

10206413516560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10206413516560 is an abundant number, since it is smaller than the sum of its proper divisors (14919375055496).

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

10206413516560 is a wasteful number, since it uses less digits than its factorization.

10206413516560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504715851 (or 7504715845 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

Adding to 10206413516560 its reverse (6561531460201), we get a palindrome (16767944976761).

The spelling of 10206413516560 in words is "ten trillion, two hundred six billion, four hundred thirteen million, five hundred sixteen thousand, five hundred sixty".