8256401010 has 256 divisors, whose sum is σ = 25992368640. Its totient is φ = 1838592000.

The previous prime is 8256400987. The next prime is 8256401063. The reversal of 8256401010 is 101046528.

8256401010 is a `hidden beast` number, since 8 + 2 + 5 + 640 + 1 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 127 ways as a sum of consecutive naturals, for example, 10849030 + ... + 10849790.

It is an arithmetic number, because the mean of its divisors is an integer number (101532690).

Almost surely, 2^8256401010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8256401010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12996184320).

8256401010 is an abundant number, since it is smaller than the sum of its proper divisors (17735967630).

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

8256401010 is a wasteful number, since it uses less digits than its factorization.

8256401010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8256401010 is about 90864.7401911214. The cubic root of 8256401010 is about 2021.1424614325.

Adding to 8256401010 its reverse (101046528), we get a palindrome (8357447538).

The spelling of 8256401010 in words is "eight billion, two hundred fifty-six million, four hundred one thousand, ten".