555998679801600 has 432 divisors, whose sum is σ = 2097610789817088. Its totient is φ = 127050923704320.

The previous prime is 555998679801583. The next prime is 555998679801701. The reversal of 555998679801600 is 6108976899555.

It is a super-2 number, since 2×555998679801600² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 496317307 + ... + 497436293.

It is an arithmetic number, because the mean of its divisors is an integer number (4855580531984).

Almost surely, 2^{555998679801600} is an apocalyptic number.

555998679801600 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 555998679801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048805394908544).

555998679801600 is an abundant number, since it is smaller than the sum of its proper divisors (1541612110015488).

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

555998679801600 is a wasteful number, since it uses less digits than its factorization.

555998679801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122720 (or 1122701 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 78.

The spelling of 555998679801600 in words is "five hundred fifty-five trillion, nine hundred ninety-eight billion, six hundred seventy-nine million, eight hundred one thousand, six hundred".