578501449680 has 960 divisors, whose sum is σ = 2500574238720. Its totient is φ = 107163648000.

The previous prime is 578501449657. The next prime is 578501449681. The reversal of 578501449680 is 86944105875.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 578501449680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578501449681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101470830 + ... + 101476530.

It is an arithmetic number, because the mean of its divisors is an integer number (2604764832).

Almost surely, 2^578501449680 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 578501449680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250287119360).

578501449680 is an abundant number, since it is smaller than the sum of its proper divisors (1922072789040).

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

578501449680 is a wasteful number, since it uses less digits than its factorization.

578501449680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 578501449680 in words is "five hundred seventy-eight billion, five hundred one million, four hundred forty-nine thousand, six hundred eighty".