82320225576810 has 384 divisors, whose sum is σ = 226476390666240. Its totient is φ = 19101566195712.

The previous prime is 82320225576767. The next prime is 82320225576839. The reversal of 82320225576810 is 1867552202328.

It is a super-2 number, since 2×82320225576810² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13271031169 + ... + 13271037371.

It is an arithmetic number, because the mean of its divisors is an integer number (589782267360).

Almost surely, 2^{82320225576810} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82320225576810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113238195333120).

82320225576810 is an abundant number, since it is smaller than the sum of its proper divisors (144156165089430).

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

82320225576810 is a wasteful number, since it uses less digits than its factorization.

82320225576810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7894 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 82320225576810 in words is "eighty-two trillion, three hundred twenty billion, two hundred twenty-five million, five hundred seventy-six thousand, eight hundred ten".