8123906568960 has 1152 divisors, whose sum is σ = 35560356894720. Its totient is φ = 1710238924800.

The previous prime is 8123906568959. The next prime is 8123906568977. The reversal of 8123906568960 is 698656093218.

8123906568960 is a `hidden beast` number, since 8 + 1 + 2 + 3 + 9 + 0 + 6 + 568 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 1544172730 + ... + 1544177990.

It is an arithmetic number, because the mean of its divisors is an integer number (30868365360).

Almost surely, 2^{8123906568960} is an apocalyptic number.

8123906568960 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 8123906568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17780178447360).

8123906568960 is an abundant number, since it is smaller than the sum of its proper divisors (27436450325760).

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

8123906568960 is a wasteful number, since it uses less digits than its factorization.

8123906568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5802 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 8123906568960 in words is "eight trillion, one hundred twenty-three billion, nine hundred six million, five hundred sixty-eight thousand, nine hundred sixty".