10205065562060 has 24 divisors (see below), whose sum is σ = 21430699219440. Its totient is φ = 4082014503104.

The previous prime is 10205065562053. The next prime is 10205065562129. The reversal of 10205065562060 is 6026556050201.

It is a happy number.

It is a super-2 number, since 2×10205065562060² (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 7 ways as a sum of consecutive naturals, for example, 10951142 + ... + 11846418.

It is an arithmetic number, because the mean of its divisors is an integer number (892945800810).

Almost surely, 2^{10205065562060} is an apocalyptic number.

10205065562060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205065562060 is an abundant number, since it is smaller than the sum of its proper divisors (11225633657380).

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

10205065562060 is a wasteful number, since it uses less digits than its factorization.

10205065562060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465225 (or 1465223 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 10205065562060 in words is "ten trillion, two hundred five billion, sixty-five million, five hundred sixty-two thousand, sixty".