82175057280 has 384 divisors, whose sum is σ = 295390368000. Its totient is φ = 21830031360.

The previous prime is 82175057233. The next prime is 82175057299. The reversal of 82175057280 is 8275057128.

82175057280 is a `hidden beast` number, since 8 + 2 + 1 + 75 + 0 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48365871 + ... + 48367569.

It is an arithmetic number, because the mean of its divisors is an integer number (769245750).

Almost surely, 2^82175057280 is an apocalyptic number.

82175057280 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 82175057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147695184000).

82175057280 is an abundant number, since it is smaller than the sum of its proper divisors (213215310720).

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

82175057280 is a wasteful number, since it uses less digits than its factorization.

82175057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 82175057280 in words is "eighty-two billion, one hundred seventy-five million, fifty-seven thousand, two hundred eighty".