82195158240 has 864 divisors, whose sum is σ = 331219717920. Its totient is φ = 19107311616.

The previous prime is 82195158217. The next prime is 82195158247. The reversal of 82195158240 is 4285159128.

82195158240 is a `hidden beast` number, since 8 + 2 + 19 + 51 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (82195158247) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 259290562 + ... + 259290878.

It is an arithmetic number, because the mean of its divisors is an integer number (383356155).

Almost surely, 2^82195158240 is an apocalyptic number.

82195158240 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 82195158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165609858960).

82195158240 is an abundant number, since it is smaller than the sum of its proper divisors (249024559680).

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

82195158240 is a wasteful number, since it uses less digits than its factorization.

82195158240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 82195158240 in words is "eighty-two billion, one hundred ninety-five million, one hundred fifty-eight thousand, two hundred forty".