578172855580320 has 2304 divisors, whose sum is σ = 2522618784903168. Its totient is φ = 108054240952320.

The previous prime is 578172855580301. The next prime is 578172855580351. The reversal of 578172855580320 is 23085558271875.

578172855580320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37845960522 + ... + 37845975798.

It is an arithmetic number, because the mean of its divisors is an integer number (1094886625392).

Almost surely, 2^{578172855580320} 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 578172855580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261309392451584).

578172855580320 is an abundant number, since it is smaller than the sum of its proper divisors (1944445929322848).

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

578172855580320 is a wasteful number, since it uses less digits than its factorization.

578172855580320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15495 (or 15474 counting only the distinct ones).

The product of its (nonzero) digits is 188160000, while the sum is 66.

The spelling of 578172855580320 in words is "five hundred seventy-eight trillion, one hundred seventy-two billion, eight hundred fifty-five million, five hundred eighty thousand, three hundred twenty".