7573228802500 has 135 divisors (see below), whose sum is σ = 17319730328593. Its totient is φ = 2896372336000.

The previous prime is 7573228802443. The next prime is 7573228802501. The reversal of 7573228802500 is 52088223757.

The square root of 7573228802500 is 2751950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 7427598031044 + 145630771456 = 2725362^2 + 381616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7573228802501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3164741304 + ... + 3164743696.

Almost surely, 2^{7573228802500} is an apocalyptic number.

7573228802500 is the 2751950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7573228802500

7573228802500 is an abundant number, since it is smaller than the sum of its proper divisors (9746501526093).

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

7573228802500 is an frugal number, since it uses more digits than its factorization.

7573228802500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

Multiplying 7573228802500 by its sum of digits (49), we get a square (371088211322500 = 19263650²).

The spelling of 7573228802500 in words is "seven trillion, five hundred seventy-three billion, two hundred twenty-eight million, eight hundred two thousand, five hundred".