82891589340 has 192 divisors, whose sum is σ = 271675514880. Its totient is φ = 18488736000.

The previous prime is 82891589329. The next prime is 82891589353. The reversal of 82891589340 is 4398519828.

It is a happy number.

It is a super-2 number, since 2×82891589340² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36823215 + ... + 36825465.

It is an arithmetic number, because the mean of its divisors is an integer number (1414976640).

Almost surely, 2^82891589340 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 82891589340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135837757440).

82891589340 is an abundant number, since it is smaller than the sum of its proper divisors (188783925540).

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

82891589340 is a wasteful number, since it uses less digits than its factorization.

82891589340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 82891589340 in words is "eighty-two billion, eight hundred ninety-one million, five hundred eighty-nine thousand, three hundred forty".