82600453440 has 168 divisors, whose sum is σ = 287708279040. Its totient is φ = 21747907584.

The previous prime is 82600453427. The next prime is 82600453469. The reversal of 82600453440 is 4435400628.

82600453440 is a `hidden beast` number, since 8 + 2 + 600 + 4 + 5 + 3 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82600453395 and 82600453404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45997 + ... + 409043.

It is an arithmetic number, because the mean of its divisors is an integer number (1712549280).

Almost surely, 2^82600453440 is an apocalyptic number.

82600453440 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 82600453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143854139520).

82600453440 is an abundant number, since it is smaller than the sum of its proper divisors (205107825600).

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

82600453440 is a wasteful number, since it uses less digits than its factorization.

82600453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363149 (or 363136 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 82600453440 in words is "eighty-two billion, six hundred million, four hundred fifty-three thousand, four hundred forty".