82769198225472 has 168 divisors, whose sum is σ = 258855310900992. Its totient is φ = 25077232972800.

The previous prime is 82769198225419. The next prime is 82769198225521. The reversal of 82769198225472 is 27452289196728.

82769198225472 is a `hidden beast` number, since 8 + 2 + 7 + 69 + 1 + 98 + 2 + 2 + 5 + 472 = 666.

It is a super-4 number, since 4×82769198225472⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 82769198225472.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35563878 + ... + 37819674.

Almost surely, 2^{82769198225472} 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 82769198225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129427655450496).

82769198225472 is an abundant number, since it is smaller than the sum of its proper divisors (176086112675520).

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

82769198225472 is a wasteful number, since it uses less digits than its factorization.

82769198225472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261617 (or 2261604 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 82769198225472 in words is "eighty-two trillion, seven hundred sixty-nine billion, one hundred ninety-eight million, two hundred twenty-five thousand, four hundred seventy-two".