82167063552 has 792 divisors, whose sum is σ = 299676476736. Its totient is φ = 22378954752.

The previous prime is 82167063541. The next prime is 82167063553. The reversal of 82167063552 is 25536076128.

82167063552 is a `hidden beast` number, since 8 + 2 + 1 + 6 + 7 + 0 + 635 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82167063498 and 82167063507.

It is not an unprimeable number, because it can be changed into a prime (82167063553) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 280433518 + ... + 280433810.

Almost surely, 2^82167063552 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 82167063552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149838238368).

82167063552 is an abundant number, since it is smaller than the sum of its proper divisors (217509413184).

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

82167063552 is a wasteful number, since it uses less digits than its factorization.

82167063552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 82167063552 in words is "eighty-two billion, one hundred sixty-seven million, sixty-three thousand, five hundred fifty-two".