5095778688 has 640 divisors, whose sum is σ = 20402807040. Its totient is φ = 1219276800.

The previous prime is 5095778687. The next prime is 5095778711. The reversal of 5095778688 is 8868775905.

5095778688 is a `hidden beast` number, since 50 + 9 + 577 + 8 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5095778687) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 10378123 + ... + 10378613.

It is an arithmetic number, because the mean of its divisors is an integer number (31879386).

Almost surely, 2^5095778688 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 5095778688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10201403520).

5095778688 is an abundant number, since it is smaller than the sum of its proper divisors (15307028352).

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

5095778688 is a wasteful number, since it uses less digits than its factorization.

5095778688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The square root of 5095778688 is about 71384.7230715368. The cubic root of 5095778688 is about 1720.8255780702.

The spelling of 5095778688 in words is "five billion, ninety-five million, seven hundred seventy-eight thousand, six hundred eighty-eight".