82161068774400 has 7920 divisors, whose sum is σ = 419736255428160. Its totient is φ = 15651333734400.

The previous prime is 82161068774399. The next prime is 82161068774441. The reversal of 82161068774400 is 447786016128.

82161068774400 is a `hidden beast` number, since 8 + 2 + 16 + 106 + 87 + 7 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7920).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1125494092764 + ... + 1125494092836.

It is an arithmetic number, because the mean of its divisors is an integer number (52997001948).

Almost surely, 2^{82161068774400} is an apocalyptic number.

82161068774400 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 82161068774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209868127714080).

82161068774400 is an abundant number, since it is smaller than the sum of its proper divisors (337575186653760).

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

82161068774400 is a wasteful number, since it uses less digits than its factorization.

82161068774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 82161068774400 in words is "eighty-two trillion, one hundred sixty-one billion, sixty-eight million, seven hundred seventy-four thousand, four hundred".