5002195035600 has 960 divisors, whose sum is σ = 21566316096000. Its totient is φ = 1075011747840.

The previous prime is 5002195035589. The next prime is 5002195035619. The reversal of 5002195035600 is 65305912005.

5002195035600 is a `hidden beast` number, since 5 + 0 + 0 + 2 + 1 + 95 + 0 + 3 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2504853802 + ... + 2504855798.

It is an arithmetic number, because the mean of its divisors is an integer number (22464912600).

Almost surely, 2^{5002195035600} is an apocalyptic number.

5002195035600 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 5002195035600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10783158048000).

5002195035600 is an abundant number, since it is smaller than the sum of its proper divisors (16564121060400).

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

5002195035600 is a wasteful number, since it uses less digits than its factorization.

5002195035600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 5002195035600 in words is "five trillion, two billion, one hundred ninety-five million, thirty-five thousand, six hundred".