5300804658240 has 672 divisors, whose sum is σ = 23760097320960. Its totient is φ = 1052621733888.

The previous prime is 5300804658197. The next prime is 5300804658263. The reversal of 5300804658240 is 428564080035.

5300804658240 is a `hidden beast` number, since 5 + 30 + 0 + 80 + 465 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 3860481 + ... + 5050239.

It is an arithmetic number, because the mean of its divisors is an integer number (35357287680).

Almost surely, 2^{5300804658240} 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 5300804658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11880048660480).

5300804658240 is an abundant number, since it is smaller than the sum of its proper divisors (18459292662720).

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

5300804658240 is a wasteful number, since it uses less digits than its factorization.

5300804658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189819 (or 1189806 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5300804658240 in words is "five trillion, three hundred billion, eight hundred four million, six hundred fifty-eight thousand, two hundred forty".