5101357685600 has 288 divisors, whose sum is σ = 13659451739136. Its totient is φ = 1845012070400.

The previous prime is 5101357685597. The next prime is 5101357685639. The reversal of 5101357685600 is 65867531015.

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 47 ways as a sum of consecutive naturals, for example, 2006037929 + ... + 2006040471.

It is an arithmetic number, because the mean of its divisors is an integer number (47428651872).

Almost surely, 2^{5101357685600} is an apocalyptic number.

5101357685600 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 5101357685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829725869568).

5101357685600 is an abundant number, since it is smaller than the sum of its proper divisors (8558094053536).

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

5101357685600 is a wasteful number, since it uses less digits than its factorization.

5101357685600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 47.

The spelling of 5101357685600 in words is "five trillion, one hundred one billion, three hundred fifty-seven million, six hundred eighty-five thousand, six hundred".