82675051200 has 504 divisors, whose sum is σ = 339127762688. Its totient is φ = 18711336960.

The previous prime is 82675051159. The next prime is 82675051237. The reversal of 82675051200 is 215057628.

It is a happy number.

82675051200 is a `hidden beast` number, since 8 + 26 + 7 + 505 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10378419 + ... + 10386381.

Almost surely, 2^82675051200 is an apocalyptic number.

82675051200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82675051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169563881344).

82675051200 is an abundant number, since it is smaller than the sum of its proper divisors (256452711488).

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

82675051200 is a wasteful number, since it uses less digits than its factorization.

82675051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8101 (or 8083 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 82675051200 in words is "eighty-two billion, six hundred seventy-five million, fifty-one thousand, two hundred".