82097870114304 has 1440 divisors, whose sum is σ = 284798916559872. Its totient is φ = 22550740992000.

The previous prime is 82097870114269. The next prime is 82097870114311. The reversal of 82097870114304 is 40341107879028.

82097870114304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 157577485564 + ... + 157577486084.

Almost surely, 2^{82097870114304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82097870114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142399458279936).

82097870114304 is an abundant number, since it is smaller than the sum of its proper divisors (202701046445568).

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

82097870114304 is a wasteful number, since it uses less digits than its factorization.

82097870114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 82097870114304 in words is "eighty-two trillion, ninety-seven billion, eight hundred seventy million, one hundred fourteen thousand, three hundred four".