82770611261184 has 864 divisors, whose sum is σ = 315364781362176. Its totient is φ = 20213191802880.

The previous prime is 82770611261171. The next prime is 82770611261213. The reversal of 82770611261184 is 48116211607728.

It is a happy number.

82770611261184 is a `hidden beast` number, since 8 + 2 + 7 + 7 + 0 + 6 + 1 + 12 + 611 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82770611261184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3006874429 + ... + 3006901955.

It is an arithmetic number, because the mean of its divisors is an integer number (365005533984).

Almost surely, 2^{82770611261184} is an apocalyptic number.

82770611261184 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 82770611261184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157682390681088).

82770611261184 is an abundant number, since it is smaller than the sum of its proper divisors (232594170100992).

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

82770611261184 is a wasteful number, since it uses less digits than its factorization.

82770611261184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28581 (or 28564 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 82770611261184 in words is "eighty-two trillion, seven hundred seventy billion, six hundred eleven million, two hundred sixty-one thousand, one hundred eighty-four".