10204240632500 has 120 divisors (see below), whose sum is σ = 22426932084480. Its totient is φ = 4061184400000.

The previous prime is 10204240632463. The next prime is 10204240632529. The reversal of 10204240632500 is 523604240201.

10204240632500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 777340937 + ... + 777354063.

It is an arithmetic number, because the mean of its divisors is an integer number (186891100704).

Almost surely, 2^{10204240632500} is an apocalyptic number.

10204240632500 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 10204240632500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11213466042240).

10204240632500 is an abundant number, since it is smaller than the sum of its proper divisors (12222691451980).

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

10204240632500 is a wasteful number, since it uses less digits than its factorization.

10204240632500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14691 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 10204240632500 its reverse (523604240201), we get a palindrome (10727844872701).

The spelling of 10204240632500 in words is "ten trillion, two hundred four billion, two hundred forty million, six hundred thirty-two thousand, five hundred".