852819619462272 has 1792 divisors, whose sum is σ = 3318551140608000. Its totient is φ = 211585572126720.

The previous prime is 852819619462271. The next prime is 852819619462309. The reversal of 852819619462272 is 272264916918258.

852819619462272 is a `hidden beast` number, since 8 + 5 + 2 + 8 + 1 + 96 + 1 + 9 + 462 + 2 + 72 = 666.

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 852819619462272.

It is not an unprimeable number, because it can be changed into a prime (852819619462271) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 133691738379 + ... + 133691744757.

Almost surely, 2^{852819619462272} 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 852819619462272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659275570304000).

852819619462272 is an abundant number, since it is smaller than the sum of its proper divisors (2465731521145728).

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

852819619462272 is a wasteful number, since it uses less digits than its factorization.

852819619462272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7234 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 852819619462272 in words is "eight hundred fifty-two trillion, eight hundred nineteen billion, six hundred nineteen million, four hundred sixty-two thousand, two hundred seventy-two".