10120556836824 has 256 divisors, whose sum is σ = 29755962163200. Its totient is φ = 2809104012288.

The previous prime is 10120556836813. The next prime is 10120556836847. The reversal of 10120556836824 is 42863865502101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216473019 + ... + 216519765.

It is an arithmetic number, because the mean of its divisors is an integer number (116234227200).

Almost surely, 2^{10120556836824} is an apocalyptic number.

10120556836824 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 10120556836824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14877981081600).

10120556836824 is an abundant number, since it is smaller than the sum of its proper divisors (19635405326376).

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

10120556836824 is a wasteful number, since it uses less digits than its factorization.

10120556836824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47102 (or 47098 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 10120556836824 in words is "ten trillion, one hundred twenty billion, five hundred fifty-six million, eight hundred thirty-six thousand, eight hundred twenty-four".