82543587840 has 1600 divisors, whose sum is σ = 369328861440. Its totient is φ = 17199267840.

The previous prime is 82543587809. The next prime is 82543587853. The reversal of 82543587840 is 4878534528.

82543587840 is a `hidden beast` number, since 8 + 2 + 54 + 3 + 587 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1130734044 + ... + 1130734116.

Almost surely, 2^82543587840 is an apocalyptic number.

82543587840 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 82543587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184664430720).

82543587840 is an abundant number, since it is smaller than the sum of its proper divisors (286785273600).

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

82543587840 is a wasteful number, since it uses less digits than its factorization.

82543587840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 82543587840 in words is "eighty-two billion, five hundred forty-three million, five hundred eighty-seven thousand, eight hundred forty".