5563560038400 has 3159 divisors, whose sum is σ = 26065364167791. Its totient is φ = 1173850030080.

The previous prime is 5563560038381. The next prime is 5563560038437. The reversal of 5563560038400 is 48300653655.

The square root of 5563560038400 is 2358720.

It is a perfect power (a square), and thus also a powerful number.

5563560038400 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 5 + 600 + 38 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1434015830016 + 4129544208384 = 1197504^2 + 2032128^2 .

It is a tau number, because it is divible by the number of its divisors (3159).

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 427966156794 + ... + 427966156806.

Almost surely, 2^{5563560038400} is an apocalyptic number.

5563560038400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5563560038400 is the 2358720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5563560038400

5563560038400 is an abundant number, since it is smaller than the sum of its proper divisors (20501804129391).

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

5563560038400 is an frugal number, since it uses more digits than its factorization.

5563560038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 5563560038400 in words is "five trillion, five hundred sixty-three billion, five hundred sixty million, thirty-eight thousand, four hundred".