82547527680 has 832 divisors, whose sum is σ = 315949804800. Its totient is φ = 20639121408.

The previous prime is 82547527649. The next prime is 82547527681. The reversal of 82547527680 is 8672574528.

82547527680 is a `hidden beast` number, since 8 + 2 + 54 + 7 + 527 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82547527681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 851005392 + ... + 851005488.

Almost surely, 2^82547527680 is an apocalyptic number.

82547527680 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 82547527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157974902400).

82547527680 is an abundant number, since it is smaller than the sum of its proper divisors (233402277120).

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

82547527680 is an frugal number, since it uses more digits than its factorization.

82547527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 82547527680 in words is "eighty-two billion, five hundred forty-seven million, five hundred twenty-seven thousand, six hundred eighty".