82528782336000 has 7200 divisors, whose sum is σ = 426445252257024. Its totient is φ = 15606743040000.

The previous prime is 82528782335999. The next prime is 82528782336053. The reversal of 82528782336000 is 63328782528.

82528782336000 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 8 + 7 + 8 + 23 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1162377215965 + ... + 1162377216035.

Almost surely, 2^{82528782336000} is an apocalyptic number.

82528782336000 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 82528782336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213222626128512).

82528782336000 is an abundant number, since it is smaller than the sum of its proper divisors (343916469921024).

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

82528782336000 is a wasteful number, since it uses less digits than its factorization.

82528782336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 82528782336000 in words is "eighty-two trillion, five hundred twenty-eight billion, seven hundred eighty-two million, three hundred thirty-six thousand".