578874461276160 has 4608 divisors, whose sum is σ = 2522147217408000. Its totient is φ = 127210562519040.

The previous prime is 578874461276129. The next prime is 578874461276173. The reversal of 578874461276160 is 61672164478875.

It is a happy number.

578874461276160 is a `hidden beast` number, since 5 + 7 + 8 + 8 + 7 + 446 + 12 + 7 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 3030756341665 + ... + 3030756341855.

It is an arithmetic number, because the mean of its divisors is an integer number (547340976000).

Almost surely, 2^{578874461276160} 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 578874461276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261073608704000).

578874461276160 is an abundant number, since it is smaller than the sum of its proper divisors (1943272756131840).

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

578874461276160 is an equidigital number, since it uses as much as digits as its factorization.

578874461276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 578874461276160 in words is "five hundred seventy-eight trillion, eight hundred seventy-four billion, four hundred sixty-one million, two hundred seventy-six thousand, one hundred sixty".