82531271869200 has 1080 divisors, whose sum is σ = 363986449778016. Its totient is φ = 17124258816000.

The previous prime is 82531271869073. The next prime is 82531271869219. The reversal of 82531271869200 is 296817213528.

82531271869200 is a `hidden beast` number, since 8 + 2 + 531 + 2 + 7 + 1 + 86 + 9 + 20 + 0 = 666.

It is a super-2 number, since 2×82531271869200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1340785624 + ... + 1340847176.

Almost surely, 2^{82531271869200} is an apocalyptic number.

82531271869200 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 82531271869200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181993224889008).

82531271869200 is an abundant number, since it is smaller than the sum of its proper divisors (281455177908816).

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

82531271869200 is a wasteful number, since it uses less digits than its factorization.

82531271869200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62293 (or 62272 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 82531271869200 in words is "eighty-two trillion, five hundred thirty-one billion, two hundred seventy-one million, eight hundred sixty-nine thousand, two hundred".