7825748205000 has 480 divisors, whose sum is σ = 26908026425280. Its totient is φ = 1894622400000.

The previous prime is 7825748204971. The next prime is 7825748205017. The reversal of 7825748205000 is 5028475287.

It is a super-2 number, since 2×7825748205000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1609902570 + ... + 1609907430.

It is an arithmetic number, because the mean of its divisors is an integer number (56058388386).

Almost surely, 2^{7825748205000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7825748205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13454013212640).

7825748205000 is an abundant number, since it is smaller than the sum of its proper divisors (19082278220280).

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

7825748205000 is a wasteful number, since it uses less digits than its factorization.

7825748205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5799 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The spelling of 7825748205000 in words is "seven trillion, eight hundred twenty-five billion, seven hundred forty-eight million, two hundred five thousand".