82672854461184 has 864 divisors, whose sum is σ = 259233117776640. Its totient is φ = 23289479036928.

The previous prime is 82672854461149. The next prime is 82672854461251. The reversal of 82672854461184 is 48116445827628.

It is a super-2 number, since 2×82672854461184² (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 95 ways as a sum of consecutive naturals, for example, 12627590199 + ... + 12627596745.

It is an arithmetic number, because the mean of its divisors is an integer number (300038330760).

Almost surely, 2^{82672854461184} 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 82672854461184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129616558888320).

82672854461184 is an abundant number, since it is smaller than the sum of its proper divisors (176560263315456).

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

82672854461184 is a wasteful number, since it uses less digits than its factorization.

82672854461184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6765 (or 6738 counting only the distinct ones).

The product of its digits is 165150720, while the sum is 66.

The spelling of 82672854461184 in words is "eighty-two trillion, six hundred seventy-two billion, eight hundred fifty-four million, four hundred sixty-one thousand, one hundred eighty-four".