82088487893376 has 192 divisors, whose sum is σ = 243960064957440. Its totient is φ = 26466914073600.

The previous prime is 82088487893369. The next prime is 82088487893381. The reversal of 82088487893376 is 67339878488028.

82088487893376 is a `hidden beast` number, since 8 + 2 + 0 + 8 + 84 + 87 + 8 + 93 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 82088487893295 and 82088487893304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70957341 + ... + 72104931.

It is an arithmetic number, because the mean of its divisors is an integer number (1270625338320).

Almost surely, 2^{82088487893376} 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 82088487893376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121980032478720).

82088487893376 is an abundant number, since it is smaller than the sum of its proper divisors (161871577064064).

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

82088487893376 is a wasteful number, since it uses less digits than its factorization.

82088487893376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149645 (or 1149630 counting only the distinct ones).

The product of its (nonzero) digits is 6242697216, while the sum is 81.

The spelling of 82088487893376 in words is "eighty-two trillion, eighty-eight billion, four hundred eighty-seven million, eight hundred ninety-three thousand, three hundred seventy-six".