1578542220864 has 336 divisors, whose sum is σ = 5357884371840. Its totient is φ = 434998886400.

The previous prime is 1578542220863. The next prime is 1578542220907. The reversal of 1578542220864 is 4680222458751.

1578542220864 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 5 + 422 + 208 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 1578542220864.

It is not an unprimeable number, because it can be changed into a prime (1578542220863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12545464 + ... + 12670664.

It is an arithmetic number, because the mean of its divisors is an integer number (15946084440).

Almost surely, 2^{1578542220864} is an apocalyptic number.

1578542220864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1578542220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678942185920).

1578542220864 is an abundant number, since it is smaller than the sum of its proper divisors (3779342150976).

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

1578542220864 is a wasteful number, since it uses less digits than its factorization.

1578542220864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125338 (or 125325 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 1578542220864 in words is "one trillion, five hundred seventy-eight billion, five hundred forty-two million, two hundred twenty thousand, eight hundred sixty-four".