8012677946160 has 320 divisors, whose sum is σ = 25494468249600. Its totient is φ = 2081164001280.

The previous prime is 8012677946131. The next prime is 8012677946237. The reversal of 8012677946160 is 616497762108.

It is a self number, because there is not a number n which added to its sum of digits gives 8012677946160.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 990071074 + ... + 990079166.

It is an arithmetic number, because the mean of its divisors is an integer number (79670213280).

Almost surely, 2^{8012677946160} is an apocalyptic number.

8012677946160 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 8012677946160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12747234124800).

8012677946160 is an abundant number, since it is smaller than the sum of its proper divisors (17481790303440).

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

8012677946160 is a wasteful number, since it uses less digits than its factorization.

8012677946160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8876 (or 8870 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 8012677946160 in words is "eight trillion, twelve billion, six hundred seventy-seven million, nine hundred forty-six thousand, one hundred sixty".