82136518926400 has 189 divisors, whose sum is σ = 211297944761533. Its totient is φ = 31422956224000.

The previous prime is 82136518926361. The next prime is 82136518926401. The reversal of 82136518926400 is 462981563128.

The square root of 82136518926400 is 9062920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29569146813504 + 52567372112896 = 5437752^2 + 7250336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82136518926401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8337881475 + ... + 8337891325.

Almost surely, 2^{82136518926400} is an apocalyptic number.

82136518926400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

82136518926400 is the 9062920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82136518926400

82136518926400 is an abundant number, since it is smaller than the sum of its proper divisors (129161425835133).

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

82136518926400 is an frugal number, since it uses more digits than its factorization.

82136518926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19770 (or 9881 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 82136518926400 in words is "eighty-two trillion, one hundred thirty-six billion, five hundred eighteen million, nine hundred twenty-six thousand, four hundred".