82823657280 has 1344 divisors, whose sum is σ = 361459832832. Its totient is φ = 15854469120.

The previous prime is 82823657269. The next prime is 82823657281. The reversal of 82823657280 is 8275632828.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82823657281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 322270912 + ... + 322271168.

It is an arithmetic number, because the mean of its divisors is an integer number (268943328).

Almost surely, 2^82823657280 is an apocalyptic number.

82823657280 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 82823657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180729916416).

82823657280 is an abundant number, since it is smaller than the sum of its proper divisors (278636175552).

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

82823657280 is a wasteful number, since it uses less digits than its factorization.

82823657280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 82823657280 in words is "eighty-two billion, eight hundred twenty-three million, six hundred fifty-seven thousand, two hundred eighty".