82349098519680 has 640 divisors, whose sum is σ = 295471603215360. Its totient is φ = 21856341196800.

The previous prime is 82349098519669. The next prime is 82349098519739. The reversal of 82349098519680 is 8691589094328.

82349098519680 is a `hidden beast` number, since 8 + 2 + 3 + 49 + 0 + 9 + 8 + 519 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 82349098519599 and 82349098519608.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10998940897 + ... + 10998948383.

It is an arithmetic number, because the mean of its divisors is an integer number (461674380024).

Almost surely, 2^{82349098519680} is an apocalyptic number.

82349098519680 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 82349098519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147735801607680).

82349098519680 is an abundant number, since it is smaller than the sum of its proper divisors (213122504695680).

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

82349098519680 is a wasteful number, since it uses less digits than its factorization.

82349098519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8490 (or 8469 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 82349098519680 in words is "eighty-two trillion, three hundred forty-nine billion, ninety-eight million, five hundred nineteen thousand, six hundred eighty".