82275149952 has 216 divisors, whose sum is σ = 246636765765. Its totient is φ = 27337430016.

The previous prime is 82275149947. The next prime is 82275149981. The reversal of 82275149952 is 25994157228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

82275149952 is a `hidden beast` number, since 82 + 2 + 75 + 1 + 499 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47688077376 + 34587072576 = 218376^2 + 185976^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202824.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 262859748 + ... + 262860060.

Almost surely, 2^82275149952 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 82275149952

82275149952 is an abundant number, since it is smaller than the sum of its proper divisors (164361615813).

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

82275149952 is an frugal number, since it uses more digits than its factorization.

82275149952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 318 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 82275149952 in words is "eighty-two billion, two hundred seventy-five million, one hundred forty-nine thousand, nine hundred fifty-two".