556375361820 has 192 divisors, whose sum is σ = 1736961408000. Its totient is φ = 132239831040.

The previous prime is 556375361683. The next prime is 556375361851. The reversal of 556375361820 is 28163573655.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88156465 + ... + 88162775.

It is an arithmetic number, because the mean of its divisors is an integer number (9046674000).

Almost surely, 2^556375361820 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 556375361820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868480704000).

556375361820 is an abundant number, since it is smaller than the sum of its proper divisors (1180586046180).

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

556375361820 is a wasteful number, since it uses less digits than its factorization.

556375361820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10908 (or 10906 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 556375361820 in words is "five hundred fifty-six billion, three hundred seventy-five million, three hundred sixty-one thousand, eight hundred twenty".