554198630400 has 882 divisors, whose sum is σ = 2131733019990. Its totient is φ = 142690222080.

The previous prime is 554198630393. The next prime is 554198630417. The reversal of 554198630400 is 4036891455.

554198630400 is a `hidden beast` number, since 5 + 5 + 4 + 1 + 9 + 8 + 630 + 4 + 0 + 0 = 666.

554198630400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 37456183296 + 516742447104 = 193536^2 + 718848^2 .

It is a super-2 number, since 2×554198630400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 19110297586 + ... + 19110297614.

Almost surely, 2^554198630400 is an apocalyptic number.

554198630400 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 554198630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065866509995).

554198630400 is an abundant number, since it is smaller than the sum of its proper divisors (1577534389590).

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

554198630400 is an frugal number, since it uses more digits than its factorization.

554198630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 554198630400 in words is "five hundred fifty-four billion, one hundred ninety-eight million, six hundred thirty thousand, four hundred".