556518305280 has 320 divisors, whose sum is σ = 2140298012160. Its totient is φ = 120509005824.

The previous prime is 556518305279. The next prime is 556518305333. The reversal of 556518305280 is 82503815655.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×556518305280² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749022 + ... + 1293858.

It is an arithmetic number, because the mean of its divisors is an integer number (6688431288).

Almost surely, 2^556518305280 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 556518305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070149006080).

556518305280 is an abundant number, since it is smaller than the sum of its proper divisors (1583779706880).

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

556518305280 is a wasteful number, since it uses less digits than its factorization.

556518305280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544889 (or 544873 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 48.

The spelling of 556518305280 in words is "five hundred fifty-six billion, five hundred eighteen million, three hundred five thousand, two hundred eighty".