5131848960 has 432 divisors, whose sum is σ = 21052676736. Its totient is φ = 1172496384.

The previous prime is 5131848959. The next prime is 5131848983. The reversal of 5131848960 is 698481315.

5131848960 is a `hidden beast` number, since 513 + 1 + 8 + 48 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176102 + ... + 2178458.

It is an arithmetic number, because the mean of its divisors is an integer number (48733048).

Almost surely, 2^5131848960 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 5131848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10526338368).

5131848960 is an abundant number, since it is smaller than the sum of its proper divisors (15920827776).

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

5131848960 is an equidigital number, since it uses as much as digits as its factorization.

5131848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5131848960 is about 71636.9245571025. The cubic root of 5131848960 is about 1724.8763011487.

The spelling of 5131848960 in words is "five billion, one hundred thirty-one million, eight hundred forty-eight thousand, nine hundred sixty".