554261360400 has 270 divisors, whose sum is σ = 2114197011290. Its totient is φ = 134366284800.

The previous prime is 554261360377. The next prime is 554261360459. The reversal of 554261360400 is 4063162455.

554261360400 is a `hidden beast` number, since 5 + 5 + 42 + 6 + 1 + 3 + 604 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 197178626304 + 357082734096 = 444048^2 + 597564^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 200605 + ... + 1071804.

Almost surely, 2^554261360400 is an apocalyptic number.

554261360400 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 554261360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057098505645).

554261360400 is an abundant number, since it is smaller than the sum of its proper divisors (1559935650890).

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

554261360400 is a wasteful number, since it uses less digits than its factorization.

554261360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272455 (or 1272430 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 554261360400 in words is "five hundred fifty-four billion, two hundred sixty-one million, three hundred sixty thousand, four hundred".