554030565800400 has 900 divisors, whose sum is σ = 2203161144891168. Its totient is φ = 133205145615360.

The previous prime is 554030565800399. The next prime is 554030565800431. The reversal of 554030565800400 is 4008565030455.

554030565800400 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 3 + 0 + 565 + 80 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×554030565800400² (a number of 30 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 179 ways as a sum of consecutive naturals, for example, 234274269 + ... + 236627331.

Almost surely, 2^{554030565800400} is an apocalyptic number.

554030565800400 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 554030565800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101580572445584).

554030565800400 is an abundant number, since it is smaller than the sum of its proper divisors (1649130579090768).

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

554030565800400 is a wasteful number, since it uses less digits than its factorization.

554030565800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353162 (or 2353129 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 554030565800400 in words is "five hundred fifty-four trillion, thirty billion, five hundred sixty-five million, eight hundred thousand, four hundred".