1578758720000 has 800 divisors, whose sum is σ = 5204892401280. Its totient is φ = 463011840000.

The previous prime is 1578758719999. The next prime is 1578758720039. The reversal of 1578758720000 is 278578751.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 418878116 + ... + 418881884.

Almost surely, 2^{1578758720000} is an apocalyptic number.

1578758720000 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 1578758720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602446200640).

1578758720000 is an abundant number, since it is smaller than the sum of its proper divisors (3626133681280).

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

1578758720000 is an equidigital number, since it uses as much as digits as its factorization.

1578758720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 50.

The spelling of 1578758720000 in words is "one trillion, five hundred seventy-eight billion, seven hundred fifty-eight million, seven hundred twenty thousand".