10205563732620 has 96 divisors (see below), whose sum is σ = 29566938885120. Its totient is φ = 2627106451200.

The previous prime is 10205563732603. The next prime is 10205563732751. The reversal of 10205563732620 is 2623736550201.

It is a super-2 number, since 2×10205563732620² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8022409 + ... + 9207071.

It is an arithmetic number, because the mean of its divisors is an integer number (307988946720).

Almost surely, 2^{10205563732620} is an apocalyptic number.

10205563732620 is a gapful number since it is divisible by the number (10) 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 10205563732620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14783469442560).

10205563732620 is an abundant number, since it is smaller than the sum of its proper divisors (19361375152500).

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

10205563732620 is a wasteful number, since it uses less digits than its factorization.

10205563732620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189655 (or 1189653 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 10205563732620 in words is "ten trillion, two hundred five billion, five hundred sixty-three million, seven hundred thirty-two thousand, six hundred twenty".