550235505600 has 672 divisors, whose sum is σ = 2216008166400. Its totient is φ = 131692953600.

The previous prime is 550235505587. The next prime is 550235505637. The reversal of 550235505600 is 6505532055.

550235505600 is a `hidden beast` number, since 5 + 50 + 2 + 3 + 550 + 56 + 0 + 0 = 666.

It is a super-2 number, since 2×550235505600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37533472 + ... + 37548128.

It is an arithmetic number, because the mean of its divisors is an integer number (3297631200).

Almost surely, 2^550235505600 is an apocalyptic number.

550235505600 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 550235505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108004083200).

550235505600 is an abundant number, since it is smaller than the sum of its proper divisors (1665772660800).

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

550235505600 is a wasteful number, since it uses less digits than its factorization.

550235505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14778 (or 14757 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 550235505600 in words is "five hundred fifty billion, two hundred thirty-five million, five hundred five thousand, six hundred".