556022113104500 has 288 divisors, whose sum is σ = 1429476467118336. Its totient is φ = 184947105600000.

The previous prime is 556022113104487. The next prime is 556022113104503. The reversal of 556022113104500 is 5401311220655.

It is a super-2 number, since 2×556022113104500² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556022113104503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15773211875 + ... + 15773247125.

It is an arithmetic number, because the mean of its divisors is an integer number (4963459955272).

Almost surely, 2^{556022113104500} is an apocalyptic number.

556022113104500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556022113104500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714738233559168).

556022113104500 is an abundant number, since it is smaller than the sum of its proper divisors (873454354013836).

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

556022113104500 is a wasteful number, since it uses less digits than its factorization.

556022113104500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36012 (or 35651 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 556022113104500 in words is "five hundred fifty-six trillion, twenty-two billion, one hundred thirteen million, one hundred four thousand, five hundred".