5006565561600 has 324 divisors, whose sum is σ = 17904285370972. Its totient is φ = 1334734848000.

The previous prime is 5006565561583. The next prime is 5006565561617. The reversal of 5006565561600 is 61655656005.

It is an interprime number because it is at equal distance from previous prime (5006565561583) and next prime (5006565561617).

It can be written as a sum of positive squares in 6 ways, for example, as 9087427584 + 4997478134016 = 95328^2 + 2235504^2 .

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 35 ways as a sum of consecutive naturals, for example, 279984660 + ... + 280002540.

Almost surely, 2^{5006565561600} is an apocalyptic number.

5006565561600 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 5006565561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8952142685486).

5006565561600 is an abundant number, since it is smaller than the sum of its proper divisors (12897719809372).

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

5006565561600 is a wasteful number, since it uses less digits than its factorization.

5006565561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22774 (or 22752 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 5006565561600 in words is "five trillion, six billion, five hundred sixty-five million, five hundred sixty-one thousand, six hundred".