578849889981440 has 2816 divisors, whose sum is σ = 1926428730310656. Its totient is φ = 161426807193600.

The previous prime is 578849889981361. The next prime is 578849889981479. The reversal of 578849889981440 is 44189988948875.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a self number, because there is not a number n which added to its sum of digits gives 578849889981440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3345953121194 + ... + 3345953121366.

It is an arithmetic number, because the mean of its divisors is an integer number (684101111616).

Almost surely, 2^{578849889981440} 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 578849889981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963214365155328).

578849889981440 is an abundant number, since it is smaller than the sum of its proper divisors (1347578840329216).

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

578849889981440 is a wasteful number, since it uses less digits than its factorization.

578849889981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 53508833280, while the sum is 92.

The spelling of 578849889981440 in words is "five hundred seventy-eight trillion, eight hundred forty-nine billion, eight hundred eighty-nine million, nine hundred eighty-one thousand, four hundred forty".