5563166400 has 672 divisors, whose sum is σ = 23130662400. Its totient is φ = 1287475200.

The previous prime is 5563166369. The next prime is 5563166431. The reversal of 5563166400 is 46613655.

5563166400 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 1 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5563166369) and next prime (5563166431).

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, 10929346 + ... + 10929854.

Almost surely, 2^5563166400 is an apocalyptic number.

5563166400 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 5563166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11565331200).

5563166400 is an abundant number, since it is smaller than the sum of its proper divisors (17567496000).

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

5563166400 is a wasteful number, since it uses less digits than its factorization.

5563166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5563166400 is about 74586.6368728340. The cubic root of 5563166400 is about 1771.9060191653.

The spelling of 5563166400 in words is "five billion, five hundred sixty-three million, one hundred sixty-six thousand, four hundred".