8701960826880 has 1664 divisors, whose sum is σ = 34279688851200. Its totient is φ = 2084334206976.

The previous prime is 8701960826869. The next prime is 8701960826887. The reversal of 8701960826880 is 886280691078.

8701960826880 is a `hidden beast` number, since 8 + 7 + 0 + 19 + 608 + 2 + 6 + 8 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (8701960826887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37347471244 + ... + 37347471476.

It is an arithmetic number, because the mean of its divisors is an integer number (20600774550).

Almost surely, 2^{8701960826880} is an apocalyptic number.

8701960826880 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 8701960826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17139844425600).

8701960826880 is an abundant number, since it is smaller than the sum of its proper divisors (25577728024320).

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

8701960826880 is a wasteful number, since it uses less digits than its factorization.

8701960826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 8701960826880 in words is "eight trillion, seven hundred one billion, nine hundred sixty million, eight hundred twenty-six thousand, eight hundred eighty".