82534171104 has 960 divisors, whose sum is σ = 316843591680. Its totient is φ = 20457722880.

The previous prime is 82534171087. The next prime is 82534171121. The reversal of 82534171104 is 40117143528.

82534171104 is a `hidden beast` number, since 8 + 2 + 534 + 1 + 7 + 110 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (82534171087) and next prime (82534171121).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 506344527 + ... + 506344689.

It is an arithmetic number, because the mean of its divisors is an integer number (330045408).

Almost surely, 2^82534171104 is an apocalyptic number.

82534171104 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 82534171104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158421795840).

82534171104 is an abundant number, since it is smaller than the sum of its proper divisors (234309420576).

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

82534171104 is a wasteful number, since it uses less digits than its factorization.

82534171104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 82534171104 in words is "eighty-two billion, five hundred thirty-four million, one hundred seventy-one thousand, one hundred four".