10205551053312 has 80 divisors (see below), whose sum is σ = 27189439184160. Its totient is φ = 3401698537472.

The previous prime is 10205551053301. The next prime is 10205551053319. The reversal of 10205551053312 is 21335015550201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10205551053319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37371538 + ... + 37643630.

It is an arithmetic number, because the mean of its divisors is an integer number (339867989802).

Almost surely, 2^{10205551053312} is an apocalyptic number.

10205551053312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10205551053312 is an abundant number, since it is smaller than the sum of its proper divisors (16983888130848).

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

10205551053312 is an equidigital number, since it uses as much as digits as its factorization.

10205551053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296533 (or 296517 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 10205551053312 in words is "ten trillion, two hundred five billion, five hundred fifty-one million, fifty-three thousand, three hundred twelve".