82123088652 has 240 divisors, whose sum is σ = 243795492864. Its totient is φ = 24079096800.

The previous prime is 82123088629. The next prime is 82123088659. The reversal of 82123088652 is 25688032128.

82123088652 is a `hidden beast` number, since 8 + 212 + 308 + 86 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82123088598 and 82123088607.

It is not an unprimeable number, because it can be changed into a prime (82123088659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13365493 + ... + 13371635.

Almost surely, 2^82123088652 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 82123088652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121897746432).

82123088652 is an abundant number, since it is smaller than the sum of its proper divisors (161672404212).

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

82123088652 is a wasteful number, since it uses less digits than its factorization.

82123088652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6223 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 82123088652 in words is "eighty-two billion, one hundred twenty-three million, eighty-eight thousand, six hundred fifty-two".