82526146560 has 1248 divisors, whose sum is σ = 350340996096. Its totient is φ = 17694720000.

The previous prime is 82526146531. The next prime is 82526146583. The reversal of 82526146560 is 6564162528.

82526146560 is a `hidden beast` number, since 8 + 2 + 526 + 1 + 4 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 817090510 + ... + 817090610.

It is an arithmetic number, because the mean of its divisors is an integer number (280721952).

Almost surely, 2^82526146560 is an apocalyptic number.

82526146560 is a gapful number since it is divisible by the number (80) 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 82526146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175170498048).

82526146560 is an abundant number, since it is smaller than the sum of its proper divisors (267814849536).

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

82526146560 is a wasteful number, since it uses less digits than its factorization.

82526146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 82526146560 in words is "eighty-two billion, five hundred twenty-six million, one hundred forty-six thousand, five hundred sixty".