556133571840 has 2304 divisors, whose sum is σ = 2506442932224. Its totient is φ = 101567692800.

The previous prime is 556133571817. The next prime is 556133571841. The reversal of 556133571840 is 48175331655.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 556133571840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556133571841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6700404439 + ... + 6700404521.

It is an arithmetic number, because the mean of its divisors is an integer number (1087865856).

Almost surely, 2^556133571840 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 556133571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253221466112).

556133571840 is an abundant number, since it is smaller than the sum of its proper divisors (1950309360384).

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

556133571840 is a wasteful number, since it uses less digits than its factorization.

556133571840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 556133571840 in words is "five hundred fifty-six billion, one hundred thirty-three million, five hundred seventy-one thousand, eight hundred forty".