577978513728000 has 3840 divisors, whose sum is σ = 2503435721859072. Its totient is φ = 116942192640000.

The previous prime is 577978513727981. The next prime is 577978513728071. The reversal of 577978513728000 is 827315879775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3840).

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, 915972287685 + ... + 915972288315.

Almost surely, 2^{577978513728000} is an apocalyptic number.

577978513728000 is a gapful number since it is divisible by the number (50) 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 577978513728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251717860929536).

577978513728000 is an abundant number, since it is smaller than the sum of its proper divisors (1925457208131072).

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

577978513728000 is a wasteful number, since it uses less digits than its factorization.

577978513728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 207446400, while the sum is 69.

The spelling of 577978513728000 in words is "five hundred seventy-seven trillion, nine hundred seventy-eight billion, five hundred thirteen million, seven hundred twenty-eight thousand".