5781560509200 has 720 divisors, whose sum is σ = 21787987336704. Its totient is φ = 1306613145600.

The previous prime is 5781560509189. The next prime is 5781560509243. The reversal of 5781560509200 is 29050651875.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5781560509200.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2231399905 + ... + 2231402495.

Almost surely, 2^{5781560509200} is an apocalyptic number.

5781560509200 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 5781560509200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10893993668352).

5781560509200 is an abundant number, since it is smaller than the sum of its proper divisors (16006426827504).

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

5781560509200 is a wasteful number, since it uses less digits than its factorization.

5781560509200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The spelling of 5781560509200 in words is "five trillion, seven hundred eighty-one billion, five hundred sixty million, five hundred nine thousand, two hundred".