550255557251200 has 192 divisors, whose sum is σ = 1396135275853320. Its totient is φ = 214139068416000.

The previous prime is 550255557251131. The next prime is 550255557251221. The reversal of 550255557251200 is 2152755552055.

It can be written as a sum of positive squares in 12 ways, for example, as 326964220951104 + 223291336300096 = 18082152^2 + 14942936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1847009454 + ... + 1847307346.

Almost surely, 2^{550255557251200} is an apocalyptic number.

550255557251200 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 550255557251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698067637926660).

550255557251200 is an abundant number, since it is smaller than the sum of its proper divisors (845879718602120).

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

550255557251200 is a wasteful number, since it uses less digits than its factorization.

550255557251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313555 (or 313538 counting only the distinct ones).

The product of its (nonzero) digits is 4375000, while the sum is 49.

The spelling of 550255557251200 in words is "five hundred fifty trillion, two hundred fifty-five billion, five hundred fifty-seven million, two hundred fifty-one thousand, two hundred".