7825641173130 has 128 divisors (see below), whose sum is σ = 21135413514240. Its totient is φ = 1837719325440.

The previous prime is 7825641173111. The next prime is 7825641173143. The reversal of 7825641173130 is 313711465287.

It is a super-2 number, since 2×7825641173130² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7825641173130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1359951 + ... + 4183389.

It is an arithmetic number, because the mean of its divisors is an integer number (165120418080).

Almost surely, 2^{7825641173130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7825641173130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10567706757120).

7825641173130 is an abundant number, since it is smaller than the sum of its proper divisors (13309772341110).

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

7825641173130 is a wasteful number, since it uses less digits than its factorization.

7825641173130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823724.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 7825641173130 in words is "seven trillion, eight hundred twenty-five billion, six hundred forty-one million, one hundred seventy-three thousand, one hundred thirty".