5133788640 has 96 divisors (see below), whose sum is σ = 17968275360. Its totient is φ = 1369009152.

The previous prime is 5133788633. The next prime is 5133788717. The reversal of 5133788640 is 468873315.

5133788640 is a `hidden beast` number, since 513 + 3 + 78 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589869 + ... + 598508.

It is an arithmetic number, because the mean of its divisors is an integer number (187169535).

Almost surely, 2^5133788640 is an apocalyptic number.

It is an amenable number.

5133788640 is an abundant number, since it is smaller than the sum of its proper divisors (12834486720).

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

5133788640 is a wasteful number, since it uses less digits than its factorization.

5133788640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188401 (or 1188387 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5133788640 is about 71650.4615477109. The cubic root of 5133788640 is about 1725.0935903853.

The spelling of 5133788640 in words is "five billion, one hundred thirty-three million, seven hundred eighty-eight thousand, six hundred forty".