1578638112480 has 2304 divisors, whose sum is σ = 7152835092480. Its totient is φ = 320893747200.

The previous prime is 1578638112473. The next prime is 1578638112481. The reversal of 1578638112480 is 842118368751.

1578638112480 is a `hidden beast` number, since 1 + 5 + 7 + 86 + 3 + 81 + 1 + 2 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1578638112481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4232273574 + ... + 4232273946.

It is an arithmetic number, because the mean of its divisors is an integer number (3104529120).

Almost surely, 2^{1578638112480} is an apocalyptic number.

1578638112480 is a gapful number since it is divisible by the number (10) 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 1578638112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576417546240).

1578638112480 is an abundant number, since it is smaller than the sum of its proper divisors (5574196980000).

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

1578638112480 is a wasteful number, since it uses less digits than its factorization.

1578638112480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1578638112480 in words is "one trillion, five hundred seventy-eight billion, six hundred thirty-eight million, one hundred twelve thousand, four hundred eighty".