8256303095040 has 5760 divisors, whose sum is σ = 43079487897600. Its totient is φ = 1453338132480.

The previous prime is 8256303095039. The next prime is 8256303095077. The reversal of 8256303095040 is 405903036528.

8256303095040 is a `hidden beast` number, since 8 + 2 + 5 + 630 + 3 + 0 + 9 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 104510165721 + ... + 104510165799.

It is an arithmetic number, because the mean of its divisors is an integer number (7479077760).

Almost surely, 2^{8256303095040} is an apocalyptic number.

8256303095040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8256303095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21539743948800).

8256303095040 is an abundant number, since it is smaller than the sum of its proper divisors (34823184802560).

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

8256303095040 is a wasteful number, since it uses less digits than its factorization.

8256303095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 8256303095040 in words is "eight trillion, two hundred fifty-six billion, three hundred three million, ninety-five thousand, forty".