556333611822072 has 192 divisors, whose sum is σ = 1812638344608000. Its totient is φ = 150584666775552.

The previous prime is 556333611822067. The next prime is 556333611822077. The reversal of 556333611822072 is 270228116333655.

556333611822072 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 336 + 1 + 18 + 220 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (556333611822067) and next prime (556333611822077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556333611822077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880992379 + ... + 881623637.

It is an arithmetic number, because the mean of its divisors is an integer number (9440824711500).

Almost surely, 2^{556333611822072} is an apocalyptic number.

It is an amenable number.

556333611822072 is an abundant number, since it is smaller than the sum of its proper divisors (1256304732785928).

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

556333611822072 is a wasteful number, since it uses less digits than its factorization.

556333611822072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723330 (or 723323 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 556333611822072 in words is "five hundred fifty-six trillion, three hundred thirty-three billion, six hundred eleven million, eight hundred twenty-two thousand, seventy-two".