82871992811520 has 3072 divisors, whose sum is σ = 352969454822400. Its totient is φ = 17738886021120.

The previous prime is 82871992811459. The next prime is 82871992811539. The reversal of 82871992811520 is 2511829917828.

82871992811520 is a `hidden beast` number, since 8 + 2 + 8 + 7 + 1 + 9 + 92 + 8 + 11 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a congruent number.

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, 462972026791 + ... + 462972026969.

It is an arithmetic number, because the mean of its divisors is an integer number (114898911075).

Almost surely, 2^{82871992811520} is an apocalyptic number.

82871992811520 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 82871992811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176484727411200).

82871992811520 is an abundant number, since it is smaller than the sum of its proper divisors (270097462010880).

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

82871992811520 is a wasteful number, since it uses less digits than its factorization.

82871992811520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 63.

The spelling of 82871992811520 in words is "eighty-two trillion, eight hundred seventy-one billion, nine hundred ninety-two million, eight hundred eleven thousand, five hundred twenty".