5346978859040 has 288 divisors, whose sum is σ = 15639083703936. Its totient is φ = 1691549982720.

The previous prime is 5346978858989. The next prime is 5346978859067. The reversal of 5346978859040 is 409588796435.

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 47 ways as a sum of consecutive naturals, for example, 695221595 + ... + 695229285.

It is an arithmetic number, because the mean of its divisors is an integer number (54302373972).

Almost surely, 2^{5346978859040} 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 5346978859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819541851968).

5346978859040 is an abundant number, since it is smaller than the sum of its proper divisors (10292104844896).

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

5346978859040 is a wasteful number, since it uses less digits than its factorization.

5346978859040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11412 (or 11391 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 68.

The spelling of 5346978859040 in words is "five trillion, three hundred forty-six billion, nine hundred seventy-eight million, eight hundred fifty-nine thousand, forty".