82442610432000 has 1536 divisors, whose sum is σ = 375116739379200. Its totient is φ = 17394352128000.

The previous prime is 82442610431999. The next prime is 82442610432037. The reversal of 82442610432000 is 23401624428.

82442610432000 is a `hidden beast` number, since 8 + 2 + 4 + 4 + 2 + 610 + 4 + 32 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 628926465 + ... + 629057535.

It is an arithmetic number, because the mean of its divisors is an integer number (244216627200).

Almost surely, 2^{82442610432000} is an apocalyptic number.

82442610432000 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 82442610432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187558369689600).

82442610432000 is an abundant number, since it is smaller than the sum of its proper divisors (292674128947200).

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

82442610432000 is a wasteful number, since it uses less digits than its factorization.

82442610432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131137 (or 131101 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 82442610432000 in words is "eighty-two trillion, four hundred forty-two billion, six hundred ten million, four hundred thirty-two thousand".