8250210048 has 288 divisors, whose sum is σ = 23697580032. Its totient is φ = 2543616000.

The previous prime is 8250210019. The next prime is 8250210107. The reversal of 8250210048 is 8400120528.

It is a super-2 number, since 2×8250210048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8250209997 and 8250210024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81685198 + ... + 81685298.

It is an arithmetic number, because the mean of its divisors is an integer number (82283264).

Almost surely, 2^8250210048 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 8250210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848790016).

8250210048 is an abundant number, since it is smaller than the sum of its proper divisors (15447369984).

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

8250210048 is a wasteful number, since it uses less digits than its factorization.

8250210048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 8250210048 is about 90830.6668917497. Note that the first 3 decimals coincide. The cubic root of 8250210048 is about 2020.6371587390.

The spelling of 8250210048 in words is "eight billion, two hundred fifty million, two hundred ten thousand, forty-eight".