82245850442250 has 1280 divisors, whose sum is σ = 245062931742720. Its totient is φ = 18335856000000.

The previous prime is 82245850442221. The next prime is 82245850442339. The reversal of 82245850442250 is 5224405854228.

It is a junction number, because it is equal to n+sod(n) for n = 82245850442193 and 82245850442202.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 990913860709 + ... + 990913860791.

It is an arithmetic number, because the mean of its divisors is an integer number (191455415424).

Almost surely, 2^{82245850442250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82245850442250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122531465871360).

82245850442250 is an abundant number, since it is smaller than the sum of its proper divisors (162817081300470).

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

82245850442250 is a wasteful number, since it uses less digits than its factorization.

82245850442250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 8192000, while the sum is 51.

The spelling of 82245850442250 in words is "eighty-two trillion, two hundred forty-five billion, eight hundred fifty million, four hundred forty-two thousand, two hundred fifty".