556621728390 has 240 divisors, whose sum is σ = 1874981010672. Its totient is φ = 117440959104.

The previous prime is 556621728367. The next prime is 556621728391. The reversal of 556621728390 is 93827126655.

556621728390 is a `hidden beast` number, since 5 + 5 + 6 + 621 + 7 + 2 + 8 + 3 + 9 + 0 = 666.

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 (556621728391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23424 + ... + 1055363.

Almost surely, 2^556621728390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556621728390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937490505336).

556621728390 is an abundant number, since it is smaller than the sum of its proper divisors (1318359282282).

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

556621728390 is a wasteful number, since it uses less digits than its factorization.

556621728390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078833 (or 1078817 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 556621728390 in words is "five hundred fifty-six billion, six hundred twenty-one million, seven hundred twenty-eight thousand, three hundred ninety".