5264812314720 has 1152 divisors, whose sum is σ = 21401578598400. Its totient is φ = 1177821388800.

The previous prime is 5264812314613. The next prime is 5264812314743. The reversal of 5264812314720 is 274132184625.

5264812314720 is a `hidden beast` number, since 5 + 2 + 6 + 481 + 2 + 3 + 147 + 20 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5444479677 + ... + 5444480643.

It is an arithmetic number, because the mean of its divisors is an integer number (18577759200).

Almost surely, 2^{5264812314720} 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 5264812314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10700789299200).

5264812314720 is an abundant number, since it is smaller than the sum of its proper divisors (16136766283680).

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

5264812314720 is a wasteful number, since it uses less digits than its factorization.

5264812314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 5264812314720 in words is "five trillion, two hundred sixty-four billion, eight hundred twelve million, three hundred fourteen thousand, seven hundred twenty".