82267953152 has 192 divisors, whose sum is σ = 206057779200. Its totient is φ = 31900631040.

The previous prime is 82267953139. The next prime is 82267953161. The reversal of 82267953152 is 25135976228.

It is a happy number.

It is a super-2 number, since 2×82267953152² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82267953152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36742049 + ... + 36744287.

It is an arithmetic number, because the mean of its divisors is an integer number (1073217600).

Almost surely, 2^82267953152 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 82267953152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103028889600).

82267953152 is an abundant number, since it is smaller than the sum of its proper divisors (123789826048).

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

82267953152 is a wasteful number, since it uses less digits than its factorization.

82267953152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2492 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 50.

The spelling of 82267953152 in words is "eighty-two billion, two hundred sixty-seven million, nine hundred fifty-three thousand, one hundred fifty-two".