82456416915840 has 2304 divisors, whose sum is σ = 330132017779200. Its totient is φ = 18926980300800.

The previous prime is 82456416915827. The next prime is 82456416915853. The reversal of 82456416915840 is 4851961465428.

82456416915840 is a `hidden beast` number, since 8 + 2 + 4 + 5 + 6 + 41 + 6 + 9 + 1 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82456416915827) and next prime (82456416915853).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 263439031524 + ... + 263439031836.

It is an arithmetic number, because the mean of its divisors is an integer number (143286466050).

Almost surely, 2^{82456416915840} is an apocalyptic number.

82456416915840 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 82456416915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165066008889600).

82456416915840 is an abundant number, since it is smaller than the sum of its proper divisors (247675600863360).

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

82456416915840 is a wasteful number, since it uses less digits than its factorization.

82456416915840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 82456416915840 in words is "eighty-two trillion, four hundred fifty-six billion, four hundred sixteen million, nine hundred fifteen thousand, eight hundred forty".