556819583040 has 2520 divisors, whose sum is σ = 2575054705608. Its totient is φ = 113706270720.

The previous prime is 556819582997. The next prime is 556819583041. The reversal of 556819583040 is 40385918655.

556819583040 is a `hidden beast` number, since 5 + 5 + 6 + 8 + 19 + 583 + 0 + 40 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27161676864 + 529657906176 = 164808^2 + 727776^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556819583041) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 13580965420 + ... + 13580965460.

Almost surely, 2^556819583040 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 556819583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287527352804).

556819583040 is an abundant number, since it is smaller than the sum of its proper divisors (2018235122568).

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

556819583040 is a wasteful number, since it uses less digits than its factorization.

556819583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 556819583040 in words is "five hundred fifty-six billion, eight hundred nineteen million, five hundred eighty-three thousand, forty".