82570295808 has 1680 divisors, whose sum is σ = 353582387136. Its totient is φ = 18632540160.

The previous prime is 82570295783. The next prime is 82570295809. The reversal of 82570295808 is 80859207528.

82570295808 is a `hidden beast` number, since 8 + 2 + 57 + 0 + 2 + 9 + 580 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82570295809) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4857076216 + ... + 4857076232.

Almost surely, 2^82570295808 is an apocalyptic number.

82570295808 is a gapful number since it is divisible by the number (88) 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 82570295808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176791193568).

82570295808 is an abundant number, since it is smaller than the sum of its proper divisors (271012091328).

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

82570295808 is a wasteful number, since it uses less digits than its factorization.

82570295808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 82570295808 in words is "eighty-two billion, five hundred seventy million, two hundred ninety-five thousand, eight hundred eight".