5725224960000 has 1040 divisors, whose sum is σ = 23480585857344. Its totient is φ = 1207959552000.

The previous prime is 5725224959933. The next prime is 5725224960001. The reversal of 5725224960000 is 694225275.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5725224960001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440401919994 + ... + 440401920006.

Almost surely, 2^{5725224960000} is an apocalyptic number.

5725224960000 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 5725224960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11740292928672).

5725224960000 is an abundant number, since it is smaller than the sum of its proper divisors (17755360897344).

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

5725224960000 is an frugal number, since it uses more digits than its factorization.

5725224960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 5725224960000 in words is "five trillion, seven hundred twenty-five billion, two hundred twenty-four million, nine hundred sixty thousand".