556075353666420 has 288 divisors, whose sum is σ = 2032184637100800. Its totient is φ = 120235443075072.

The previous prime is 556075353666409. The next prime is 556075353666433. The reversal of 556075353666420 is 24666353570655.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 947625 + ... + 33362384.

It is an arithmetic number, because the mean of its divisors is an integer number (7056196656600).

Almost surely, 2^{556075353666420} 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 556075353666420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016092318550400).

556075353666420 is an abundant number, since it is smaller than the sum of its proper divisors (1476109283434380).

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

556075353666420 is a wasteful number, since it uses less digits than its factorization.

556075353666420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34310727 (or 34310722 counting only the distinct ones).

The product of its (nonzero) digits is 408240000, while the sum is 63.

The spelling of 556075353666420 in words is "five hundred fifty-six trillion, seventy-five billion, three hundred fifty-three million, six hundred sixty-six thousand, four hundred twenty".