10205229038720 has 32 divisors (see below), whose sum is σ = 24396875672220. Its totient is φ = 4082091615232.

The previous prime is 10205229038707. The next prime is 10205229038779. The reversal of 10205229038720 is 2783092250201.

It can be written as a sum of positive squares in 2 ways, for example, as 10017933972544 + 187295066176 = 3165112^2 + 432776^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7972834547 + ... + 7972835826.

Almost surely, 2^{10205229038720} is an apocalyptic number.

10205229038720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205229038720 is an abundant number, since it is smaller than the sum of its proper divisors (14191646633500).

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

10205229038720 is an equidigital number, since it uses as much as digits as its factorization.

10205229038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15945670392 (or 15945670380 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 10205229038720 in words is "ten trillion, two hundred five billion, two hundred twenty-nine million, thirty-eight thousand, seven hundred twenty".