5305029100560 has 640 divisors, whose sum is σ = 21463559577600. Its totient is φ = 1178933667840.

The previous prime is 5305029100543. The next prime is 5305029100573. The reversal of 5305029100560 is 650019205035.

5305029100560 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 0 + 2 + 91 + 0 + 0 + 560 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 1024332051 + ... + 1024337229.

It is an arithmetic number, because the mean of its divisors is an integer number (33536811840).

Almost surely, 2^{5305029100560} 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 5305029100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10731779788800).

5305029100560 is an abundant number, since it is smaller than the sum of its proper divisors (16158530477040).

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

5305029100560 is a wasteful number, since it uses less digits than its factorization.

5305029100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 5305029100560 in words is "five trillion, three hundred five billion, twenty-nine million, one hundred thousand, five hundred sixty".