5563762041600 has 864 divisors, whose sum is σ = 23543183139840. Its totient is φ = 1259342069760.

The previous prime is 5563762041499. The next prime is 5563762041619. The reversal of 5563762041600 is 61402673655.

5563762041600 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 7 + 620 + 4 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 124566472 + ... + 124611128.

It is an arithmetic number, because the mean of its divisors is an integer number (27249054560).

Almost surely, 2^{5563762041600} is an apocalyptic number.

5563762041600 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 5563762041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11771591569920).

5563762041600 is an abundant number, since it is smaller than the sum of its proper divisors (17979421098240).

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

5563762041600 is a wasteful number, since it uses less digits than its factorization.

5563762041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44802 (or 44777 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 5563762041600 in words is "five trillion, five hundred sixty-three billion, seven hundred sixty-two million, forty-one thousand, six hundred".