556240817280 has 512 divisors, whose sum is σ = 1929199472640. Its totient is φ = 135942782976.

The previous prime is 556240817267. The next prime is 556240817351. The reversal of 556240817280 is 82718042655.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 100637877 + ... + 100643403.

It is an arithmetic number, because the mean of its divisors is an integer number (3767967720).

Almost surely, 2^556240817280 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 556240817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964599736320).

556240817280 is an abundant number, since it is smaller than the sum of its proper divisors (1372958655360).

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

556240817280 is a wasteful number, since it uses less digits than its factorization.

556240817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 556240817280 in words is "five hundred fifty-six billion, two hundred forty million, eight hundred seventeen thousand, two hundred eighty".