8255096640000 has 4800 divisors, whose sum is σ = 39871960888320. Its totient is φ = 1672151040000.

The previous prime is 8255096639987. The next prime is 8255096640097. The reversal of 8255096640000 is 466905528.

8255096640000 is a `hidden beast` number, since 8 + 2 + 550 + 96 + 6 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 223110719982 + ... + 223110720018.

Almost surely, 2^{8255096640000} is an apocalyptic number.

8255096640000 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 8255096640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19935980444160).

8255096640000 is an abundant number, since it is smaller than the sum of its proper divisors (31616864248320).

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

8255096640000 is a wasteful number, since it uses less digits than its factorization.

8255096640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 8255096640000 in words is "eight trillion, two hundred fifty-five billion, ninety-six million, six hundred forty thousand".