10205236164004 has 18 divisors (see below), whose sum is σ = 20774945048550. Its totient is φ = 4373672641632.

The previous prime is 10205236164001. The next prime is 10205236164059. The reversal of 10205236164004 is 40046163250201.

10205236164004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6025296803904 + 4179939360100 = 2454648^2 + 2044490^2 .

It is not an unprimeable number, because it can be changed into a prime (10205236164001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26033765529 + ... + 26033765920.

Almost surely, 2^{10205236164004} is an apocalyptic number.

10205236164004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10205236164004 is an abundant number, since it is smaller than the sum of its proper divisors (10569708884546).

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

10205236164004 is a wasteful number, since it uses less digits than its factorization.

10205236164004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52067531467 (or 52067531458 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 10205236164004 in words is "ten trillion, two hundred five billion, two hundred thirty-six million, one hundred sixty-four thousand, four".