1578699432960 has 1056 divisors, whose sum is σ = 5928244318080. Its totient is φ = 355451535360.

The previous prime is 1578699432899. The next prime is 1578699433001. The reversal of 1578699432960 is 692349968751.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3645956904 + ... + 3645957336.

It is a 1-persistent number, because it is pandigital, but 2⋅1578699432960 = 3157398865920 is not.

Almost surely, 2^{1578699432960} is an apocalyptic number.

1578699432960 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 1578699432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964122159040).

1578699432960 is an abundant number, since it is smaller than the sum of its proper divisors (4349544885120).

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

1578699432960 is a wasteful number, since it uses less digits than its factorization.

1578699432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 69.

The spelling of 1578699432960 in words is "one trillion, five hundred seventy-eight billion, six hundred ninety-nine million, four hundred thirty-two thousand, nine hundred sixty".