82359929655972 has 240 divisors, whose sum is σ = 232801724232000. Its totient is φ = 25301182830336.

The previous prime is 82359929655961. The next prime is 82359929656051. The reversal of 82359929655972 is 27955692995328.

82359929655972 is a `hidden beast` number, since 8 + 2 + 3 + 59 + 9 + 2 + 9 + 6 + 559 + 7 + 2 = 666.

It is a super-2 number, since 2×82359929655972² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 82359929655891 and 82359929655900.

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, 1507595554 + ... + 1507650182.

It is an arithmetic number, because the mean of its divisors is an integer number (970007184300).

Almost surely, 2^{82359929655972} 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 82359929655972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116400862116000).

82359929655972 is an abundant number, since it is smaller than the sum of its proper divisors (150441794576028).

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

82359929655972 is a wasteful number, since it uses less digits than its factorization.

82359929655972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61320 (or 61309 counting only the distinct ones).

The product of its digits is 6613488000, while the sum is 81.

The spelling of 82359929655972 in words is "eighty-two trillion, three hundred fifty-nine billion, nine hundred twenty-nine million, six hundred fifty-five thousand, nine hundred seventy-two".