8027148197952 has 336 divisors, whose sum is σ = 25458713006272. Its totient is φ = 2402119618560.

The previous prime is 8027148197891. The next prime is 8027148197963. The reversal of 8027148197952 is 2597918417208.

8027148197952 is a `hidden beast` number, since 80 + 2 + 7 + 1 + 481 + 9 + 79 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8027148197952.

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, 882972927 + ... + 882982017.

Almost surely, 2^{8027148197952} 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 8027148197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12729356503136).

8027148197952 is an abundant number, since it is smaller than the sum of its proper divisors (17431564808320).

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

8027148197952 is a wasteful number, since it uses less digits than its factorization.

8027148197952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12346 (or 12333 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 8027148197952 in words is "eight trillion, twenty-seven billion, one hundred forty-eight million, one hundred ninety-seven thousand, nine hundred fifty-two".