82174116710400 has 3456 divisors, whose sum is σ = 350698947580800. Its totient is φ = 16675504128000.

The previous prime is 82174116710393. The next prime is 82174116710407. The reversal of 82174116710400 is 401761147128.

It is an interprime number because it is at equal distance from previous prime (82174116710393) and next prime (82174116710407).

It is not an unprimeable number, because it can be changed into a prime (82174116710407) 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 287 ways as a sum of consecutive naturals, for example, 358838937486 + ... + 358838937714.

It is an arithmetic number, because the mean of its divisors is an integer number (101475389925).

Almost surely, 2^{82174116710400} is an apocalyptic number.

82174116710400 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 82174116710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175349473790400).

82174116710400 is an abundant number, since it is smaller than the sum of its proper divisors (268524830870400).

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

82174116710400 is a wasteful number, since it uses less digits than its factorization.

82174116710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

Adding to 82174116710400 its reverse (401761147128), we get a palindrome (82575877857528).

The spelling of 82174116710400 in words is "eighty-two trillion, one hundred seventy-four billion, one hundred sixteen million, seven hundred ten thousand, four hundred".