82714344710400 has 1296 divisors, whose sum is σ = 322385007677824. Its totient is φ = 20111040184320.

The previous prime is 82714344710267. The next prime is 82714344710411. The reversal of 82714344710400 is 401744341728.

82714344710400 is a `hidden beast` number, since 8 + 2 + 71 + 434 + 47 + 104 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57162642477 + ... + 57162643923.

Almost surely, 2^{82714344710400} is an apocalyptic number.

82714344710400 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 82714344710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161192503838912).

82714344710400 is an abundant number, since it is smaller than the sum of its proper divisors (239670662967424).

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

82714344710400 is a wasteful number, since it uses less digits than its factorization.

82714344710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 82714344710400 in words is "eighty-two trillion, seven hundred fourteen billion, three hundred forty-four million, seven hundred ten thousand, four hundred".