82582012376640 has 1680 divisors, whose sum is σ = 358350705752832. Its totient is φ = 17386388619264.

The previous prime is 82582012376639. The next prime is 82582012376671. The reversal of 82582012376640 is 4667321028528.

82582012376640 is a `hidden beast` number, since 8 + 2 + 5 + 8 + 201 + 2 + 376 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5524981647 + ... + 5524996593.

Almost surely, 2^{82582012376640} is an apocalyptic number.

82582012376640 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 82582012376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179175352876416).

82582012376640 is an abundant number, since it is smaller than the sum of its proper divisors (275768693376192).

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

82582012376640 is a wasteful number, since it uses less digits than its factorization.

82582012376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15062 (or 15028 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 82582012376640 in words is "eighty-two trillion, five hundred eighty-two billion, twelve million, three hundred seventy-six thousand, six hundred forty".