82789241472 has 192 divisors, whose sum is σ = 278909991360. Its totient is φ = 23077048320.

The previous prime is 82789241467. The next prime is 82789241473. The reversal of 82789241472 is 27414298728.

82789241472 is a `hidden beast` number, since 8 + 2 + 78 + 92 + 414 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82789241473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205423 + ... + 455825.

It is an arithmetic number, because the mean of its divisors is an integer number (1452656205).

Almost surely, 2^82789241472 is an apocalyptic number.

82789241472 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82789241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139454995680).

82789241472 is an abundant number, since it is smaller than the sum of its proper divisors (196120749888).

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

82789241472 is a wasteful number, since it uses less digits than its factorization.

82789241472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250471 (or 250456 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 82789241472 in words is "eighty-two billion, seven hundred eighty-nine million, two hundred forty-one thousand, four hundred seventy-two".