556356032166000 has 640 divisors, whose sum is σ = 2029538331804672. Its totient is φ = 129929587200000.

The previous prime is 556356032165981. The next prime is 556356032166007. The reversal of 556356032166000 is 661230653655.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556356032166007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245514139 + ... + 247769861.

Almost surely, 2^{556356032166000} is an apocalyptic number.

556356032166000 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 556356032166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014769165902336).

556356032166000 is an abundant number, since it is smaller than the sum of its proper divisors (1473182299638672).

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

556356032166000 is a wasteful number, since it uses less digits than its factorization.

556356032166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255898 (or 2255882 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 48.

The spelling of 556356032166000 in words is "five hundred fifty-six trillion, three hundred fifty-six billion, thirty-two million, one hundred sixty-six thousand".