82511267440 has 40 divisors (see below), whose sum is σ = 219244226400. Its totient is φ = 28289577216.

The previous prime is 82511267411. The next prime is 82511267441. The reversal of 82511267440 is 4476211528.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 82511267393 and 82511267402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82511267441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73670215 + ... + 73671334.

It is an arithmetic number, because the mean of its divisors is an integer number (5481105660).

Almost surely, 2^82511267440 is an apocalyptic number.

82511267440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82511267440 is an abundant number, since it is smaller than the sum of its proper divisors (136732958960).

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

82511267440 is a wasteful number, since it uses less digits than its factorization.

82511267440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147341569 (or 147341563 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

Adding to 82511267440 its reverse (4476211528), we get a palindrome (86987478968).

The spelling of 82511267440 in words is "eighty-two billion, five hundred eleven million, two hundred sixty-seven thousand, four hundred forty".