82070012857800 has 384 divisors, whose sum is σ = 291457826933760. Its totient is φ = 18909507302400.

The previous prime is 82070012857793. The next prime is 82070012857837. The reversal of 82070012857800 is 875821007028.

It is a self number, because there is not a number n which added to its sum of digits gives 82070012857800.

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 95 ways as a sum of consecutive naturals, for example, 22110799 + ... + 25554401.

It is an arithmetic number, because the mean of its divisors is an integer number (759004757640).

Almost surely, 2^{82070012857800} 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 82070012857800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145728913466880).

82070012857800 is an abundant number, since it is smaller than the sum of its proper divisors (209387814075960).

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

82070012857800 is a wasteful number, since it uses less digits than its factorization.

82070012857800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443813 (or 3443804 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 48.

The spelling of 82070012857800 in words is "eighty-two trillion, seventy billion, twelve million, eight hundred fifty-seven thousand, eight hundred".