578045725920 has 768 divisors, whose sum is σ = 2381491445760. Its totient is φ = 129591705600.

The previous prime is 578045725913. The next prime is 578045725991. The reversal of 578045725920 is 29527540875.

578045725920 is a `hidden beast` number, since 5 + 7 + 8 + 0 + 45 + 7 + 2 + 592 + 0 = 666.

It is a super-2 number, since 2×578045725920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29586555 + ... + 29606085.

It is an arithmetic number, because the mean of its divisors is an integer number (3100900320).

Almost surely, 2^578045725920 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 578045725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190745722880).

578045725920 is an abundant number, since it is smaller than the sum of its proper divisors (1803445719840).

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

578045725920 is a wasteful number, since it uses less digits than its factorization.

578045725920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19616 (or 19602 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 578045725920 in words is "five hundred seventy-eight billion, forty-five million, seven hundred twenty-five thousand, nine hundred twenty".