5095464192 has 288 divisors, whose sum is σ = 18547746560. Its totient is φ = 1343692800.

The previous prime is 5095464191. The next prime is 5095464197. The reversal of 5095464192 is 2914645905.

5095464192 is a `hidden beast` number, since 509 + 54 + 6 + 4 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5095464191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624942 + ... + 633042.

Almost surely, 2^5095464192 is an apocalyptic number.

5095464192 is a gapful number since it is divisible by the number (52) 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 5095464192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9273873280).

5095464192 is an abundant number, since it is smaller than the sum of its proper divisors (13452282368).

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

5095464192 is a wasteful number, since it uses less digits than its factorization.

5095464192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8146 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5095464192 is about 71382.5202132847. The cubic root of 5095464192 is about 1720.7901759640.

The spelling of 5095464192 in words is "five billion, ninety-five million, four hundred sixty-four thousand, one hundred ninety-two".