10206412625115 has 96 divisors (see below), whose sum is σ = 20952244684800. Its totient is φ = 4497007576320.

The previous prime is 10206412625113. The next prime is 10206412625119. The reversal of 10206412625115 is 51152621460201.

10206412625115 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 4 + 12 + 625 + 1 + 15 = 666.

10206412625115 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10206412625115 - 2¹ = 10206412625113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10206412625115.

It is not an unprimeable number, because it can be changed into a prime (10206412625113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4237726 + ... + 6194444.

It is an arithmetic number, because the mean of its divisors is an integer number (218252548800).

Almost surely, 2^{10206412625115} is an apocalyptic number.

10206412625115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10206412625115 is an abundant number, since it is smaller than the sum of its proper divisors (10745832059685).

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

10206412625115 is a wasteful number, since it uses less digits than its factorization.

10206412625115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957337 (or 1957334 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10206412625115 in words is "ten trillion, two hundred six billion, four hundred twelve million, six hundred twenty-five thousand, one hundred fifteen".