578757957120 has 1440 divisors, whose sum is σ = 2515004743680. Its totient is φ = 122283786240.

The previous prime is 578757957119. The next prime is 578757957149. The reversal of 578757957120 is 21759757875.

578757957120 is a `hidden beast` number, since 5 + 7 + 8 + 7 + 57 + 9 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 804948121 + ... + 804948839.

It is an arithmetic number, because the mean of its divisors is an integer number (1746531072).

Almost surely, 2^578757957120 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 578757957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257502371840).

578757957120 is an abundant number, since it is smaller than the sum of its proper divisors (1936246786560).

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

578757957120 is a wasteful number, since it uses less digits than its factorization.

578757957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 43218000, while the sum is 63.

The spelling of 578757957120 in words is "five hundred seventy-eight billion, seven hundred fifty-seven million, nine hundred fifty-seven thousand, one hundred twenty".