5107851460950 has 288 divisors, whose sum is σ = 15134187912480. Its totient is φ = 1136078899200.

The previous prime is 5107851460937. The next prime is 5107851460981. The reversal of 5107851460950 is 590641587015.

It is a super-3 number, since 3×5107851460950³ (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5107851460893 and 5107851460902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117203364 + ... + 117246936.

It is an arithmetic number, because the mean of its divisors is an integer number (52549263585).

Almost surely, 2^{5107851460950} is an apocalyptic number.

5107851460950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5107851460950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567093956240).

5107851460950 is an abundant number, since it is smaller than the sum of its proper divisors (10026336451530).

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

5107851460950 is a wasteful number, since it uses less digits than its factorization.

5107851460950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44032 (or 44020 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 5107851460950 in words is "five trillion, one hundred seven billion, eight hundred fifty-one million, four hundred sixty thousand, nine hundred fifty".