556142358240 has 1152 divisors, whose sum is σ = 2312162012160. Its totient is φ = 123619737600.

The previous prime is 556142358199. The next prime is 556142358253. The reversal of 556142358240 is 42853241655.

556142358240 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 4 + 23 + 582 + 40 = 666.

556142358240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2307644520 + ... + 2307644760.

It is an arithmetic number, because the mean of its divisors is an integer number (2007085080).

Almost surely, 2^556142358240 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 556142358240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156081006080).

556142358240 is an abundant number, since it is smaller than the sum of its proper divisors (1756019653920).

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

556142358240 is a wasteful number, since it uses less digits than its factorization.

556142358240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 556142358240 its reverse (42853241655), we get a palindrome (598995599895).

The spelling of 556142358240 in words is "five hundred fifty-six billion, one hundred forty-two million, three hundred fifty-eight thousand, two hundred forty".