82857943920416 has 288 divisors, whose sum is σ = 198083889561600. Its totient is φ = 33328754657280.

The previous prime is 82857943920403. The next prime is 82857943920431. The reversal of 82857943920416 is 61402934975828.

It is a super-2 number, since 2×82857943920416² (a number of 29 digits) contains 22 as substring.

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, 64783380065 + ... + 64783381343.

It is an arithmetic number, because the mean of its divisors is an integer number (687791283200).

It is a 1-persistent number, because it is pandigital, but 2⋅82857943920416 = 165715887840832 is not.

Almost surely, 2^{82857943920416} 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 82857943920416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99041944780800).

82857943920416 is an abundant number, since it is smaller than the sum of its proper divisors (115225945641184).

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

82857943920416 is a wasteful number, since it uses less digits than its factorization.

82857943920416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 68.

The spelling of 82857943920416 in words is "eighty-two trillion, eight hundred fifty-seven billion, nine hundred forty-three million, nine hundred twenty thousand, four hundred sixteen".