578725141760 has 288 divisors, whose sum is σ = 1477915213824. Its totient is φ = 216760320000.

The previous prime is 578725141723. The next prime is 578725141769. The reversal of 578725141760 is 67141527875.

It is a happy number.

It is a super-3 number, since 3×578725141760³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578725141769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206612360 + ... + 206615160.

It is an arithmetic number, because the mean of its divisors is an integer number (5131650048).

Almost surely, 2^578725141760 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 578725141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738957606912).

578725141760 is an abundant number, since it is smaller than the sum of its proper divisors (899190072064).

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

578725141760 is a wasteful number, since it uses less digits than its factorization.

578725141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 53.

The spelling of 578725141760 in words is "five hundred seventy-eight billion, seven hundred twenty-five million, one hundred forty-one thousand, seven hundred sixty".