5133832704 has 960 divisors, whose sum is σ = 21159895680. Its totient is φ = 1207664640.

The previous prime is 5133832687. The next prime is 5133832721. The reversal of 5133832704 is 4072383315.

5133832704 is a `hidden beast` number, since 5 + 1 + 3 + 383 + 270 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5133832687) and next prime (5133832721).

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

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96864742 + ... + 96864794.

It is an arithmetic number, because the mean of its divisors is an integer number (22041558).

Almost surely, 2^5133832704 is an apocalyptic number.

5133832704 is a gapful number since it is divisible by the number (54) 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 5133832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579947840).

5133832704 is an abundant number, since it is smaller than the sum of its proper divisors (16026062976).

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

5133832704 is a wasteful number, since it uses less digits than its factorization.

5133832704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5133832704 is about 71650.7690398366. The cubic root of 5133832704 is about 1725.0985259414.

The spelling of 5133832704 in words is "five billion, one hundred thirty-three million, eight hundred thirty-two thousand, seven hundred four".