5056100016600 has 384 divisors, whose sum is σ = 16509848302080. Its totient is φ = 1278328320000.

The previous prime is 5056100016589. The next prime is 5056100016703. The reversal of 5056100016600 is 66100016505.

It is a super-3 number, since 3×5056100016600³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 894723775 + ... + 894729425.

It is an arithmetic number, because the mean of its divisors is an integer number (42994396620).

Almost surely, 2^{5056100016600} is an apocalyptic number.

5056100016600 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 5056100016600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254924151040).

5056100016600 is an abundant number, since it is smaller than the sum of its proper divisors (11453748285480).

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

5056100016600 is a wasteful number, since it uses less digits than its factorization.

5056100016600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6731 (or 6722 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 5056100016600 in words is "five trillion, fifty-six billion, one hundred million, sixteen thousand, six hundred".