82570273200 has 540 divisors, whose sum is σ = 306665171280. Its totient is φ = 20548684800.

The previous prime is 82570273117. The next prime is 82570273213. The reversal of 82570273200 is 237207528.

It is a happy number.

82570273200 is a `hidden beast` number, since 82 + 570 + 2 + 7 + 3 + 2 + 0 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 100327989 + ... + 100328811.

Almost surely, 2^82570273200 is an apocalyptic number.

82570273200 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 82570273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153332585640).

82570273200 is an abundant number, since it is smaller than the sum of its proper divisors (224094898080).

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

82570273200 is a wasteful number, since it uses less digits than its factorization.

82570273200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 82570273200 in words is "eighty-two billion, five hundred seventy million, two hundred seventy-three thousand, two hundred".