7825950198528 has 432 divisors, whose sum is σ = 27541782831360. Its totient is φ = 1925726330880.

The previous prime is 7825950198497. The next prime is 7825950198541. The reversal of 7825950198528 is 8258910595287.

It is a happy number.

It is a super-2 number, since 2×7825950198528² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12042826 + ... + 12676022.

Almost surely, 2^{7825950198528} 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 7825950198528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770891415680).

7825950198528 is an abundant number, since it is smaller than the sum of its proper divisors (19715832632832).

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

7825950198528 is a wasteful number, since it uses less digits than its factorization.

7825950198528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633264 (or 633239 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 69.

The spelling of 7825950198528 in words is "seven trillion, eight hundred twenty-five billion, nine hundred fifty million, one hundred ninety-eight thousand, five hundred twenty-eight".