556172192130048 has 528 divisors, whose sum is σ = 1823242700138496. Its totient is φ = 162085926666240.

The previous prime is 556172192130007. The next prime is 556172192130053. The reversal of 556172192130048 is 840031291271655.

556172192130048 is a `hidden beast` number, since 5 + 5 + 61 + 7 + 219 + 21 + 300 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 556172192129976 and 556172192130003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172967190 + ... + 176153322.

It is a 1-persistent number, because it is pandigital, but 2⋅556172192130048 = 1112344384260096 is not.

Almost surely, 2^{556172192130048} 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 556172192130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911621350069248).

556172192130048 is an abundant number, since it is smaller than the sum of its proper divisors (1267070508008448).

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

556172192130048 is a wasteful number, since it uses less digits than its factorization.

556172192130048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186250 (or 3186229 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 556172192130048 in words is "five hundred fifty-six trillion, one hundred seventy-two billion, one hundred ninety-two million, one hundred thirty thousand, forty-eight".