556364102505120 has 8064 divisors, whose sum is σ = 2791609523942400. Its totient is φ = 103154328797184.

The previous prime is 556364102505109. The next prime is 556364102505173. The reversal of 556364102505120 is 21505201463655.

556364102505120 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 6 + 4 + 10 + 2 + 505 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 2327883273961 + ... + 2327883274199.

It is an arithmetic number, because the mean of its divisors is an integer number (346181736600).

Almost surely, 2^{556364102505120} 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 556364102505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395804761971200).

556364102505120 is an abundant number, since it is smaller than the sum of its proper divisors (2235245421437280).

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

556364102505120 is a wasteful number, since it uses less digits than its factorization.

556364102505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

Adding to 556364102505120 its reverse (21505201463655), we get a palindrome (577869303968775).

The spelling of 556364102505120 in words is "five hundred fifty-six trillion, three hundred sixty-four billion, one hundred two million, five hundred five thousand, one hundred twenty".