5309210551680 has 2560 divisors, whose sum is σ = 24184790784000. Its totient is φ = 1081918881792.

The previous prime is 5309210551669. The next prime is 5309210551783. The reversal of 5309210551680 is 861550129035.

5309210551680 is a `hidden beast` number, since 5 + 3 + 0 + 9 + 2 + 10 + 551 + 6 + 80 = 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 (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10555090309 + ... + 10555090811.

It is an arithmetic number, because the mean of its divisors is an integer number (9447183900).

Almost surely, 2^{5309210551680} 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 5309210551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12092395392000).

5309210551680 is an abundant number, since it is smaller than the sum of its proper divisors (18875580232320).

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

5309210551680 is a wasteful number, since it uses less digits than its factorization.

5309210551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 5309210551680 in words is "five trillion, three hundred nine billion, two hundred ten million, five hundred fifty-one thousand, six hundred eighty".