5107742574000 has 320 divisors, whose sum is σ = 18166262999040. Its totient is φ = 1224326400000.

The previous prime is 5107742573981. The next prime is 5107742574071. The reversal of 5107742574000 is 4752477015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5439225 + ... + 6308775.

It is an arithmetic number, because the mean of its divisors is an integer number (56769571872).

Almost surely, 2^{5107742574000} is an apocalyptic number.

5107742574000 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 5107742574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9083131499520).

5107742574000 is an abundant number, since it is smaller than the sum of its proper divisors (13058520425040).

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

5107742574000 is a wasteful number, since it uses less digits than its factorization.

5107742574000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869677 (or 869661 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 42.

The spelling of 5107742574000 in words is "five trillion, one hundred seven billion, seven hundred forty-two million, five hundred seventy-four thousand".