5095763136 has 280 divisors, whose sum is σ = 16032821376. Its totient is φ = 1597501440.

The previous prime is 5095763093. The next prime is 5095763147. The reversal of 5095763136 is 6313675905.

5095763136 is a `hidden beast` number, since 5 + 0 + 9 + 5 + 7 + 631 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5095763091 and 5095763100.

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 39 ways as a sum of consecutive naturals, for example, 5945620 + ... + 5946476.

Almost surely, 2^5095763136 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 5095763136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8016410688).

5095763136 is an abundant number, since it is smaller than the sum of its proper divisors (10937058240).

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

5095763136 is a wasteful number, since it uses less digits than its factorization.

5095763136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 5095763136 is about 71384.6141405835. The cubic root of 5095763136 is about 1720.8238274509.

The spelling of 5095763136 in words is "five billion, ninety-five million, seven hundred sixty-three thousand, one hundred thirty-six".