578968581240 has 384 divisors, whose sum is σ = 2190576960000. Its totient is φ = 129889557504.

The previous prime is 578968581211. The next prime is 578968581277. The reversal of 578968581240 is 42185869875.

578968581240 is a `hidden beast` number, since 5 + 7 + 8 + 9 + 6 + 8 + 581 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29380911 + ... + 29400609.

It is an arithmetic number, because the mean of its divisors is an integer number (5704627500).

Almost surely, 2^578968581240 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 578968581240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095288480000).

578968581240 is an abundant number, since it is smaller than the sum of its proper divisors (1611608378760).

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

578968581240 is a wasteful number, since it uses less digits than its factorization.

578968581240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19939 (or 19932 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 578968581240 in words is "five hundred seventy-eight billion, nine hundred sixty-eight million, five hundred eighty-one thousand, two hundred forty".