5023506309600 has 288 divisors, whose sum is σ = 16832358597600. Its totient is φ = 1300376125440.

The previous prime is 5023506309581. The next prime is 5023506309629. The reversal of 5023506309600 is 69036053205.

It is a super-2 number, since 2×5023506309600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38385076 + ... + 38515724.

It is an arithmetic number, because the mean of its divisors is an integer number (58445689575).

Almost surely, 2^{5023506309600} is an apocalyptic number.

5023506309600 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 5023506309600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8416179298800).

5023506309600 is an abundant number, since it is smaller than the sum of its proper divisors (11808852288000).

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

5023506309600 is a wasteful number, since it uses less digits than its factorization.

5023506309600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131142 (or 131129 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 39.

The spelling of 5023506309600 in words is "five trillion, twenty-three billion, five hundred six million, three hundred nine thousand, six hundred".