10204847850624 has 512 divisors, whose sum is σ = 33443823974400. Its totient is φ = 2691698688000.

The previous prime is 10204847850559. The next prime is 10204847850641. The reversal of 10204847850624 is 42605874840201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2200741234 + ... + 2200745870.

It is an arithmetic number, because the mean of its divisors is an integer number (65319968700).

Almost surely, 2^{10204847850624} is an apocalyptic number.

10204847850624 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 10204847850624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16721911987200).

10204847850624 is an abundant number, since it is smaller than the sum of its proper divisors (23238976123776).

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

10204847850624 is a wasteful number, since it uses less digits than its factorization.

10204847850624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 10204847850624 in words is "ten trillion, two hundred four billion, eight hundred forty-seven million, eight hundred fifty thousand, six hundred twenty-four".