5127830813952 has 2304 divisors, whose sum is σ = 20570554368000. Its totient is φ = 1246426030080.

The previous prime is 5127830813893. The next prime is 5127830813957. The reversal of 5127830813952 is 2593180387215.

5127830813952 is a `hidden beast` number, since 5 + 1 + 278 + 308 + 13 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5127830813957) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49784765133 + ... + 49784765235.

It is an arithmetic number, because the mean of its divisors is an integer number (8928192000).

Almost surely, 2^{5127830813952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5127830813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285277184000).

5127830813952 is an abundant number, since it is smaller than the sum of its proper divisors (15442723554048).

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

5127830813952 is a wasteful number, since it uses less digits than its factorization.

5127830813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 5127830813952 in words is "five trillion, one hundred twenty-seven billion, eight hundred thirty million, eight hundred thirteen thousand, nine hundred fifty-two".