578582497920 has 512 divisors, whose sum is σ = 2156736960000. Its totient is φ = 131876978688.

The previous prime is 578582497901. The next prime is 578582497967. The reversal of 578582497920 is 29794285875.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285155466 + ... + 285157494.

It is an arithmetic number, because the mean of its divisors is an integer number (4212376875).

Almost surely, 2^578582497920 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 578582497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078368480000).

578582497920 is an abundant number, since it is smaller than the sum of its proper divisors (1578154462080).

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

578582497920 is a wasteful number, since it uses less digits than its factorization.

578582497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 66.

The spelling of 578582497920 in words is "five hundred seventy-eight billion, five hundred eighty-two million, four hundred ninety-seven thousand, nine hundred twenty".