82821150720 has 864 divisors, whose sum is σ = 360923078880. Its totient is φ = 17193369600.

The previous prime is 82821150719. The next prime is 82821150743. The reversal of 82821150720 is 2705112828.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78058990 + ... + 78060050.

It is an arithmetic number, because the mean of its divisors is an integer number (417735045).

Almost surely, 2^82821150720 is an apocalyptic number.

82821150720 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 82821150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180461539440).

82821150720 is an abundant number, since it is smaller than the sum of its proper divisors (278101928160).

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

82821150720 is a wasteful number, since it uses less digits than its factorization.

82821150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 82821150720 in words is "eighty-two billion, eight hundred twenty-one million, one hundred fifty thousand, seven hundred twenty".