7430085105828 has 192 divisors, whose sum is σ = 21982286032896. Its totient is φ = 1897344000000.

The previous prime is 7430085105811. The next prime is 7430085105847. The reversal of 7430085105828 is 8285015800347.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13259328 + ... + 13808328.

It is an arithmetic number, because the mean of its divisors is an integer number (114491073088).

Almost surely, 2^{7430085105828} 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 7430085105828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10991143016448).

7430085105828 is an abundant number, since it is smaller than the sum of its proper divisors (14552200927068).

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

7430085105828 is a wasteful number, since it uses less digits than its factorization.

7430085105828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549274 (or 549272 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 7430085105828 in words is "seven trillion, four hundred thirty billion, eighty-five million, one hundred five thousand, eight hundred twenty-eight".