82197518040 has 1024 divisors, whose sum is σ = 344383488000. Its totient is φ = 17169408000.

The previous prime is 82197518003. The next prime is 82197518047. The reversal of 82197518040 is 4081579128.

82197518040 is a `hidden beast` number, since 8 + 2 + 1 + 97 + 518 + 0 + 40 = 666.

It is a super-2 number, since 2×82197518040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82197518047) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 118954095 + ... + 118954785.

It is an arithmetic number, because the mean of its divisors is an integer number (336312000).

Almost surely, 2^82197518040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82197518040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172191744000).

82197518040 is an abundant number, since it is smaller than the sum of its proper divisors (262185969960).

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

82197518040 is a wasteful number, since it uses less digits than its factorization.

82197518040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 82197518040 in words is "eighty-two billion, one hundred ninety-seven million, five hundred eighteen thousand, forty".