82385714240 has 28 divisors (see below), whose sum is σ = 196180982796. Its totient is φ = 32954285568.

The previous prime is 82385714233. The next prime is 82385714251. The reversal of 82385714240 is 4241758328.

It can be written as a sum of positive squares in 2 ways, for example, as 53645971456 + 28739742784 = 231616^2 + 169528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82385714191 and 82385714200.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128727359 + ... + 128727998.

Almost surely, 2^82385714240 is an apocalyptic number.

82385714240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82385714240 is an abundant number, since it is smaller than the sum of its proper divisors (113795268556).

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

82385714240 is a wasteful number, since it uses less digits than its factorization.

82385714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257455374 (or 257455364 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The spelling of 82385714240 in words is "eighty-two billion, three hundred eighty-five million, seven hundred fourteen thousand, two hundred forty".