82465050787840 has 1224 divisors, whose sum is σ = 247380830116992. Its totient is φ = 26284067389440.

The previous prime is 82465050787813. The next prime is 82465050787897. The reversal of 82465050787840 is 4878705056428.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 418604318622 + ... + 418604318818.

Almost surely, 2^{82465050787840} is an apocalyptic number.

82465050787840 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 82465050787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123690415058496).

82465050787840 is an abundant number, since it is smaller than the sum of its proper divisors (164915779329152).

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

82465050787840 is an equidigital number, since it uses as much as digits as its factorization.

82465050787840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 64.

The spelling of 82465050787840 in words is "eighty-two trillion, four hundred sixty-five billion, fifty million, seven hundred eighty-seven thousand, eight hundred forty".