556166473500 has 384 divisors, whose sum is σ = 1804477409280. Its totient is φ = 131983104000.

The previous prime is 556166473477. The next prime is 556166473519. The reversal of 556166473500 is 5374661655.

556166473500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×556166473500² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 556166473500.

It is a congruent number.

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, 151253662 + ... + 151257338.

It is an arithmetic number, because the mean of its divisors is an integer number (4699159920).

Almost surely, 2^556166473500 is an apocalyptic number.

556166473500 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 556166473500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902238704640).

556166473500 is an abundant number, since it is smaller than the sum of its proper divisors (1248310935780).

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

556166473500 is a wasteful number, since it uses less digits than its factorization.

556166473500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 556166473500 in words is "five hundred fifty-six billion, one hundred sixty-six million, four hundred seventy-three thousand, five hundred".