82871558851200 has 1536 divisors, whose sum is σ = 328334470963200. Its totient is φ = 17962421452800.

The previous prime is 82871558851189. The next prime is 82871558851219. The reversal of 82871558851200 is 215885517828.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129284802880 + ... + 129284803520.

It is an arithmetic number, because the mean of its divisors is an integer number (213759421200).

Almost surely, 2^{82871558851200} is an apocalyptic number.

82871558851200 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 82871558851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164167235481600).

82871558851200 is an abundant number, since it is smaller than the sum of its proper divisors (245462912112000).

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

82871558851200 is a wasteful number, since it uses less digits than its factorization.

82871558851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 14336000, while the sum is 60.

The spelling of 82871558851200 in words is "eighty-two trillion, eight hundred seventy-one billion, five hundred fifty-eight million, eight hundred fifty-one thousand, two hundred".