5250032083296 has 864 divisors, whose sum is σ = 20955278661408. Its totient is φ = 1224711290880.

The previous prime is 5250032083253. The next prime is 5250032083327. The reversal of 5250032083296 is 6923802300525.

5250032083296 is a `hidden beast` number, since 5 + 2 + 500 + 3 + 20 + 8 + 32 + 96 = 666.

It is a super-3 number, since 3×5250032083296³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 74631436 + ... + 74701748.

It is an arithmetic number, because the mean of its divisors is an integer number (24253794747).

Almost surely, 2^{5250032083296} is an apocalyptic number.

5250032083296 is a gapful number since it is divisible by the number (56) 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 5250032083296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10477639330704).

5250032083296 is an abundant number, since it is smaller than the sum of its proper divisors (15705246578112).

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

5250032083296 is a wasteful number, since it uses less digits than its factorization.

5250032083296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70404 (or 70386 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 5250032083296 in words is "five trillion, two hundred fifty billion, thirty-two million, eighty-three thousand, two hundred ninety-six".