10052665701200 has 60 divisors (see below), whose sum is σ = 24804273420060. Its totient is φ = 3912388807680.

The previous prime is 10052665701187. The next prime is 10052665701209. The reversal of 10052665701200 is 210756625001.

It can be written as a sum of positive squares in 6 ways, for example, as 359505769744 + 9693159931456 = 599588^2 + 3113384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052665701209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339602285 + ... + 339631884.

It is an arithmetic number, because the mean of its divisors is an integer number (413404557001).

Almost surely, 2^{10052665701200} is an apocalyptic number.

10052665701200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10052665701200 is an abundant number, since it is smaller than the sum of its proper divisors (14751607718860).

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

10052665701200 is a wasteful number, since it uses less digits than its factorization.

10052665701200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679234224 (or 679234213 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 10052665701200 in words is "ten trillion, fifty-two billion, six hundred sixty-five million, seven hundred one thousand, two hundred".