82402738135200 has 432 divisors, whose sum is σ = 343534179905280. Its totient is φ = 18185431541760.

The previous prime is 82402738135199. The next prime is 82402738135261. The reversal of 82402738135200 is 253183720428.

82402738135200 is a `hidden beast` number, since 8 + 2 + 40 + 2 + 7 + 3 + 81 + 3 + 520 + 0 = 666.

It is a super-2 number, since 2×82402738135200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26727624 + ... + 29650823.

It is an arithmetic number, because the mean of its divisors is an integer number (795218009040).

Almost surely, 2^{82402738135200} is an apocalyptic number.

82402738135200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82402738135200 is an abundant number, since it is smaller than the sum of its proper divisors (261131441770080).

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

82402738135200 is a wasteful number, since it uses less digits than its factorization.

82402738135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56378509 (or 56378493 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 82402738135200 in words is "eighty-two trillion, four hundred two billion, seven hundred thirty-eight million, one hundred thirty-five thousand, two hundred".