10052304239824 has 480 divisors, whose sum is σ = 25799166525440. Its totient is φ = 3709183104000.

The previous prime is 10052304239767. The next prime is 10052304239843. The reversal of 10052304239824 is 42893240325001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5714782657 + ... + 5714784415.

Almost surely, 2^{10052304239824} is an apocalyptic number.

10052304239824 is a gapful number since it is divisible by the number (14) 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 10052304239824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12899583262720).

10052304239824 is an abundant number, since it is smaller than the sum of its proper divisors (15746862285616).

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

10052304239824 is a wasteful number, since it uses less digits than its factorization.

10052304239824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 10052304239824 in words is "ten trillion, fifty-two billion, three hundred four million, two hundred thirty-nine thousand, eight hundred twenty-four".