8127968787120 has 480 divisors, whose sum is σ = 32044045049856. Its totient is φ = 1659588065280.

The previous prime is 8127968787097. The next prime is 8127968787131. The reversal of 8127968787120 is 217878697218.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20794609 + ... + 21181871.

Almost surely, 2^{8127968787120} is an apocalyptic number.

8127968787120 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 8127968787120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16022022524928).

8127968787120 is an abundant number, since it is smaller than the sum of its proper divisors (23916076262736).

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

8127968787120 is a wasteful number, since it uses less digits than its factorization.

8127968787120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387361 (or 387324 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 66.

The spelling of 8127968787120 in words is "eight trillion, one hundred twenty-seven billion, nine hundred sixty-eight million, seven hundred eighty-seven thousand, one hundred twenty".