8120593248768 has 3840 divisors, whose sum is σ = 35461730304000. Its totient is φ = 1755758592000.

The previous prime is 8120593248739. The next prime is 8120593248827. The reversal of 8120593248768 is 8678423950218.

8120593248768 is a `hidden beast` number, since 8 + 1 + 2 + 0 + 5 + 93 + 2 + 487 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 133124479458 + ... + 133124479518.

It is an arithmetic number, because the mean of its divisors is an integer number (9234825600).

It is a 1-persistent number, because it is pandigital, but 2⋅8120593248768 = 16241186497536 is not.

Almost surely, 2^{8120593248768} is an apocalyptic number.

8120593248768 is a gapful number since it is divisible by the number (88) 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 8120593248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17730865152000).

8120593248768 is an abundant number, since it is smaller than the sum of its proper divisors (27341137055232).

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

8120593248768 is a wasteful number, since it uses less digits than its factorization.

8120593248768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 8120593248768 in words is "eight trillion, one hundred twenty billion, five hundred ninety-three million, two hundred forty-eight thousand, seven hundred sixty-eight".