82127176560 has 960 divisors, whose sum is σ = 347233775616. Its totient is φ = 17766604800.

The previous prime is 82127176553. The next prime is 82127176619. The reversal of 82127176560 is 6567172128.

82127176560 is a `hidden beast` number, since 8 + 2 + 12 + 7 + 1 + 76 + 560 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86177044 + ... + 86177996.

Almost surely, 2^82127176560 is an apocalyptic number.

82127176560 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 82127176560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173616887808).

82127176560 is an abundant number, since it is smaller than the sum of its proper divisors (265106599056).

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

82127176560 is a wasteful number, since it uses less digits than its factorization.

82127176560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 82127176560 in words is "eighty-two billion, one hundred twenty-seven million, one hundred seventy-six thousand, five hundred sixty".