5095935000 has 480 divisors, whose sum is σ = 19240341120. Its totient is φ = 1209600000.

The previous prime is 5095934989. The next prime is 5095935067. The reversal of 5095935000 is 5395905.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18134860 + ... + 18135140.

It is an arithmetic number, because the mean of its divisors is an integer number (40084044).

Almost surely, 2^5095935000 is an apocalyptic number.

5095935000 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 5095935000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9620170560).

5095935000 is an abundant number, since it is smaller than the sum of its proper divisors (14144406120).

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

5095935000 is a wasteful number, since it uses less digits than its factorization.

5095935000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 30375, while the sum is 36.

The square root of 5095935000 is about 71385.8179192478. The cubic root of 5095935000 is about 1720.8431732180.

The spelling of 5095935000 in words is "five billion, ninety-five million, nine hundred thirty-five thousand".