8027056104480 has 2160 divisors, whose sum is σ = 34716107986560. Its totient is φ = 1740395704320.

The previous prime is 8027056104461. The next prime is 8027056104499. The reversal of 8027056104480 is 844016507208.

8027056104480 is a `hidden beast` number, since 8 + 0 + 2 + 7 + 0 + 561 + 0 + 4 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (8027056104461) and next prime (8027056104499).

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 101608305081 + ... + 101608305159.

It is an arithmetic number, because the mean of its divisors is an integer number (16072272216).

Almost surely, 2^{8027056104480} is an apocalyptic number.

8027056104480 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 8027056104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358053993280).

8027056104480 is an abundant number, since it is smaller than the sum of its proper divisors (26689051882080).

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

8027056104480 is a wasteful number, since it uses less digits than its factorization.

8027056104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 8027056104480 in words is "eight trillion, twenty-seven billion, fifty-six million, one hundred four thousand, four hundred eighty".