5310074880 has 624 divisors, whose sum is σ = 21037633344. Its totient is φ = 1274019840.

The previous prime is 5310074879. The next prime is 5310074911. The reversal of 5310074880 is 884700135.

5310074880 is a `hidden beast` number, since 531 + 0 + 0 + 7 + 48 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54742992 + ... + 54743088.

It is an arithmetic number, because the mean of its divisors is an integer number (33714156).

Almost surely, 2^5310074880 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 5310074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10518816672).

5310074880 is an abundant number, since it is smaller than the sum of its proper divisors (15727558464).

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

5310074880 is an equidigital number, since it uses as much as digits as its factorization.

5310074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5310074880 is about 72870.2606006044. The cubic root of 5310074880 is about 1744.6174622531.

The spelling of 5310074880 in words is "five billion, three hundred ten million, seventy-four thousand, eight hundred eighty".