5255569065600 has 576 divisors, whose sum is σ = 21454826178240. Its totient is φ = 1199998402560.

The previous prime is 5255569065581. The next prime is 5255569065601. The reversal of 5255569065600 is 65609655525.

5255569065600 is a `hidden beast` number, since 5 + 25 + 5 + 5 + 6 + 9 + 0 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (5255569065601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 196949859 + ... + 196976541.

It is an arithmetic number, because the mean of its divisors is an integer number (37247962115).

Almost surely, 2^{5255569065600} is an apocalyptic number.

5255569065600 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 5255569065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10727413089120).

5255569065600 is an abundant number, since it is smaller than the sum of its proper divisors (16199257112640).

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

5255569065600 is a wasteful number, since it uses less digits than its factorization.

5255569065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27697 (or 27677 counting only the distinct ones).

The product of its (nonzero) digits is 12150000, while the sum is 54.

The spelling of 5255569065600 in words is "five trillion, two hundred fifty-five billion, five hundred sixty-nine million, sixty-five thousand, six hundred".