550493798400 has 1440 divisors, whose sum is σ = 2493773166080. Its totient is φ = 115935805440.

The previous prime is 550493798357. The next prime is 550493798473. The reversal of 550493798400 is 4897394055.

550493798400 is a `hidden beast` number, since 5 + 5 + 0 + 493 + 79 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1006386927 + ... + 1006387473.

Almost surely, 2^550493798400 is an apocalyptic number.

550493798400 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 550493798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246886583040).

550493798400 is an abundant number, since it is smaller than the sum of its proper divisors (1943279367680).

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

550493798400 is a wasteful number, since it uses less digits than its factorization.

550493798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 550493798400 in words is "five hundred fifty billion, four hundred ninety-three million, seven hundred ninety-eight thousand, four hundred".