82758139236864 has 1280 divisors, whose sum is σ = 305220784619520. Its totient is φ = 21558804480000.

The previous prime is 82758139236841. The next prime is 82758139236893. The reversal of 82758139236864 is 46863293185728.

82758139236864 is a `hidden beast` number, since 8 + 2 + 7 + 581 + 3 + 9 + 2 + 36 + 8 + 6 + 4 = 666.

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 = 82758139236792 and 82758139236801.

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 127 ways as a sum of consecutive naturals, for example, 36281515404 + ... + 36281517684.

It is an arithmetic number, because the mean of its divisors is an integer number (238453737984).

Almost surely, 2^{82758139236864} is an apocalyptic number.

82758139236864 is a gapful number since it is divisible by the number (84) 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 82758139236864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152610392309760).

82758139236864 is an abundant number, since it is smaller than the sum of its proper divisors (222462645382656).

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

82758139236864 is a wasteful number, since it uses less digits than its factorization.

82758139236864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2648 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 82758139236864 in words is "eighty-two trillion, seven hundred fifty-eight billion, one hundred thirty-nine million, two hundred thirty-six thousand, eight hundred sixty-four".