556207398825120 has 768 divisors, whose sum is σ = 2227932241920000. Its totient is φ = 126955962372096.

The previous prime is 556207398825061. The next prime is 556207398825151. The reversal of 556207398825120 is 21528893702655.

It is a happy number.

556207398825120 is a `hidden beast` number, since 5 + 5 + 6 + 2 + 0 + 7 + 39 + 8 + 82 + 512 + 0 = 666.

It is a super-2 number, since 2×556207398825120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88723461346 + ... + 88723467614.

It is an arithmetic number, because the mean of its divisors is an integer number (2900953440000).

Almost surely, 2^{556207398825120} 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 556207398825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113966120960000).

556207398825120 is an abundant number, since it is smaller than the sum of its proper divisors (1671724843094880).

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

556207398825120 is a wasteful number, since it uses less digits than its factorization.

556207398825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9922 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 556207398825120 in words is "five hundred fifty-six trillion, two hundred seven billion, three hundred ninety-eight million, eight hundred twenty-five thousand, one hundred twenty".