5005953792 has 288 divisors, whose sum is σ = 17051865600. Its totient is φ = 1419005952.

The previous prime is 5005953763. The next prime is 5005953809. The reversal of 5005953792 is 2973595005.

5005953792 is a `hidden beast` number, since 50 + 0 + 595 + 3 + 7 + 9 + 2 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7595959 + ... + 7596617.

Almost surely, 2^5005953792 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 5005953792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8525932800).

5005953792 is an abundant number, since it is smaller than the sum of its proper divisors (12045911808).

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

5005953792 is a wasteful number, since it uses less digits than its factorization.

5005953792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 5005953792 is about 70752.7652604476. The cubic root of 5005953792 is about 1710.6544001973.

The spelling of 5005953792 in words is "five billion, five million, nine hundred fifty-three thousand, seven hundred ninety-two".