82885301280 has 288 divisors, whose sum is σ = 287985559680. Its totient is φ = 21704601600.

The previous prime is 82885301267. The next prime is 82885301293. The reversal of 82885301280 is 8210358828.

82885301280 is a `hidden beast` number, since 8 + 28 + 8 + 530 + 12 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (82885301267) and next prime (82885301293).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19350019 + ... + 19354301.

It is an arithmetic number, because the mean of its divisors is an integer number (999949860).

Almost surely, 2^82885301280 is an apocalyptic number.

82885301280 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 82885301280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143992779840).

82885301280 is an abundant number, since it is smaller than the sum of its proper divisors (205100258400).

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

82885301280 is a wasteful number, since it uses less digits than its factorization.

82885301280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 82885301280 in words is "eighty-two billion, eight hundred eighty-five million, three hundred one thousand, two hundred eighty".