82142001360 has 60 divisors (see below), whose sum is σ = 275860223652. Its totient is φ = 21904533504.

The previous prime is 82142001323. The next prime is 82142001373. The reversal of 82142001360 is 6310024128.

It can be written as a sum of positive squares in 2 ways, for example, as 42571243584 + 39570757776 = 206328^2 + 198924^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57042337 + ... + 57043776.

Almost surely, 2^82142001360 is an apocalyptic number.

82142001360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82142001360 is an abundant number, since it is smaller than the sum of its proper divisors (193718222292).

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

82142001360 is a wasteful number, since it uses less digits than its factorization.

82142001360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114086132 (or 114086123 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 82142001360 its reverse (6310024128), we get a palindrome (88452025488).

The spelling of 82142001360 in words is "eighty-two billion, one hundred forty-two million, one thousand, three hundred sixty".