10205055332052 has 144 divisors (see below), whose sum is σ = 28595417292288. Its totient is φ = 2821432400640.

The previous prime is 10205055332047. The next prime is 10205055332057. The reversal of 10205055332052 is 25023355050201.

It is an interprime number because it is at equal distance from previous prime (10205055332047) and next prime (10205055332057).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205055332057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364491318 + ... + 364519314.

It is an arithmetic number, because the mean of its divisors is an integer number (198579286752).

Almost surely, 2^{10205055332052} is an apocalyptic number.

10205055332052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10205055332052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14297708646144).

10205055332052 is an abundant number, since it is smaller than the sum of its proper divisors (18390361960236).

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

10205055332052 is a wasteful number, since it uses less digits than its factorization.

10205055332052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48046 (or 48037 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 10205055332052 in words is "ten trillion, two hundred five billion, fifty-five million, three hundred thirty-two thousand, fifty-two".