852417438980016 has 160 divisors (see below), whose sum is σ = 2744557285980160. Its totient is φ = 221967651290112.

The previous prime is 852417438979993. The next prime is 852417438980069. The reversal of 852417438980016 is 610089834714258.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234784755 + ... + 1235474898.

It is an arithmetic number, because the mean of its divisors is an integer number (17153483037376).

It is a 1-persistent number, because it is pandigital, but 2⋅852417438980016 = 1704834877960032 is not.

Almost surely, 2^{852417438980016} is an apocalyptic number.

It is an amenable number.

852417438980016 is an abundant number, since it is smaller than the sum of its proper divisors (1892139847000144).

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

852417438980016 is a wasteful number, since it uses less digits than its factorization.

852417438980016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470259763 (or 2470259757 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 852417438980016 in words is "eight hundred fifty-two trillion, four hundred seventeen billion, four hundred thirty-eight million, nine hundred eighty thousand, sixteen".