82390949672864 has 192 divisors, whose sum is σ = 203634971688960. Its totient is φ = 31995281387520.

The previous prime is 82390949672839. The next prime is 82390949672881. The reversal of 82390949672864 is 46827694909328.

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, 2325899057 + ... + 2325934479.

It is an arithmetic number, because the mean of its divisors is an integer number (1060598810880).

Almost surely, 2^{82390949672864} 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 82390949672864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101817485844480).

82390949672864 is an abundant number, since it is smaller than the sum of its proper divisors (121244022016096).

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

82390949672864 is a wasteful number, since it uses less digits than its factorization.

82390949672864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59243 (or 59235 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 77.

The spelling of 82390949672864 in words is "eighty-two trillion, three hundred ninety billion, nine hundred forty-nine million, six hundred seventy-two thousand, eight hundred sixty-four".