8104856760000 has 6720 divisors, whose sum is σ = 43671480652800. Its totient is φ = 1463132160000.

The previous prime is 8104856759971. The next prime is 8104856760031. The reversal of 8104856760000 is 676584018.

It is a happy number.

8104856760000 is a `hidden beast` number, since 81 + 0 + 4 + 8 + 567 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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 959 ways as a sum of consecutive naturals, for example, 476756279992 + ... + 476756280008.

It is an arithmetic number, because the mean of its divisors is an integer number (6498732240).

Almost surely, 2^{8104856760000} is an apocalyptic number.

8104856760000 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 8104856760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21835740326400).

8104856760000 is an abundant number, since it is smaller than the sum of its proper divisors (35566623892800).

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

8104856760000 is a wasteful number, since it uses less digits than its factorization.

8104856760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 8104856760000 in words is "eight trillion, one hundred four billion, eight hundred fifty-six million, seven hundred sixty thousand".