82189985040 has 320 divisors, whose sum is σ = 294938265600. Its totient is φ = 21013862400.

The previous prime is 82189984999. The next prime is 82189985041. The reversal of 82189985040 is 4058998128.

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

It is not an unprimeable number, because it can be changed into a prime (82189985041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7293010 + ... + 7304270.

It is an arithmetic number, because the mean of its divisors is an integer number (921682080).

Almost surely, 2^82189985040 is an apocalyptic number.

82189985040 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 82189985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147469132800).

82189985040 is an abundant number, since it is smaller than the sum of its proper divisors (212748280560).

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

82189985040 is a wasteful number, since it uses less digits than its factorization.

82189985040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11423 (or 11411 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 82189985040 in words is "eighty-two billion, one hundred eighty-nine million, nine hundred eighty-five thousand, forty".