556010412010752 has 144 divisors (see below), whose sum is σ = 1484017387776000. Its totient is φ = 184808648441856.

The previous prime is 556010412010747. The next prime is 556010412010759. The reversal of 556010412010752 is 257010214010655.

It is a self number, because there is not a number n which added to its sum of digits gives 556010412010752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556010412010759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1240181124 + ... + 1240629372.

It is an arithmetic number, because the mean of its divisors is an integer number (10305676304000).

Almost surely, 2^{556010412010752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556010412010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742008693888000).

556010412010752 is an abundant number, since it is smaller than the sum of its proper divisors (928006975765248).

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

556010412010752 is a wasteful number, since it uses less digits than its factorization.

556010412010752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452868 (or 452854 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 556010412010752 in words is "five hundred fifty-six trillion, ten billion, four hundred twelve million, ten thousand, seven hundred fifty-two".