82871212320 has 384 divisors, whose sum is σ = 314669940480. Its totient is φ = 20248289280.

The previous prime is 82871212289. The next prime is 82871212343. The reversal of 82871212320 is 2321217828.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7688535 + ... + 7699305.

It is an arithmetic number, because the mean of its divisors is an integer number (819452970).

Almost surely, 2^82871212320 is an apocalyptic number.

82871212320 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 82871212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157334970240).

82871212320 is an abundant number, since it is smaller than the sum of its proper divisors (231798728160).

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

82871212320 is a wasteful number, since it uses less digits than its factorization.

82871212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10945 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 82871212320 in words is "eighty-two billion, eight hundred seventy-one million, two hundred twelve thousand, three hundred twenty".