556816465920 has 1088 divisors, whose sum is σ = 2225950481664. Its totient is φ = 116769423360.

The previous prime is 556816465879. The next prime is 556816465927. The reversal of 556816465920 is 29564618655.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556816465927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2389770124 + ... + 2389770356.

Almost surely, 2^556816465920 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 556816465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112975240832).

556816465920 is an abundant number, since it is smaller than the sum of its proper divisors (1669134015744).

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

556816465920 is a wasteful number, since it uses less digits than its factorization.

556816465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 556816465920 in words is "five hundred fifty-six billion, eight hundred sixteen million, four hundred sixty-five thousand, nine hundred twenty".