556787862160000 has 960 divisors, whose sum is σ = 1498685985720000. Its totient is φ = 205824931840000.

The previous prime is 556787862159983. The next prime is 556787862160021. The reversal of 556787862160000 is 61268787655.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 185657838501 + ... + 185657841499.

It is an arithmetic number, because the mean of its divisors is an integer number (1561131235125).

Almost surely, 2^{556787862160000} is an apocalyptic number.

556787862160000 is a gapful number since it is divisible by the number (50) 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 556787862160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749342992860000).

556787862160000 is an abundant number, since it is smaller than the sum of its proper divisors (941898123560000).

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

556787862160000 is a wasteful number, since it uses less digits than its factorization.

556787862160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 61.

The spelling of 556787862160000 in words is "five hundred fifty-six trillion, seven hundred eighty-seven billion, eight hundred sixty-two million, one hundred sixty thousand".