5125769688 has 192 divisors, whose sum is σ = 15427208160. Its totient is φ = 1405734912.

The previous prime is 5125769687. The next prime is 5125769689. The reversal of 5125769688 is 8869675215.

It is an interprime number because it is at equal distance from previous prime (5125769687) and next prime (5125769689).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5125769683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1913406 + ... + 1916082.

Almost surely, 2^5125769688 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 5125769688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713604080).

5125769688 is an abundant number, since it is smaller than the sum of its proper divisors (10301438472).

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

5125769688 is a wasteful number, since it uses less digits than its factorization.

5125769688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2731 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 57.

The square root of 5125769688 is about 71594.4808487358. The cubic root of 5125769688 is about 1724.1949264866.

The spelling of 5125769688 in words is "five billion, one hundred twenty-five million, seven hundred sixty-nine thousand, six hundred eighty-eight".