5346895030080 has 448 divisors, whose sum is σ = 17871197460480. Its totient is φ = 1351814897664.

The previous prime is 5346895030069. The next prime is 5346895030091. The reversal of 5346895030080 is 800305986435.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5346895030069) and next prime (5346895030091).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2710031974 + ... + 2710033946.

It is an arithmetic number, because the mean of its divisors is an integer number (39891065760).

Almost surely, 2^{5346895030080} 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 5346895030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8935598730240).

5346895030080 is an abundant number, since it is smaller than the sum of its proper divisors (12524302430400).

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

5346895030080 is a wasteful number, since it uses less digits than its factorization.

5346895030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 5346895030080 in words is "five trillion, three hundred forty-six billion, eight hundred ninety-five million, thirty thousand, eighty".