8116278589440 has 2160 divisors, whose sum is σ = 36000609404760. Its totient is φ = 1743496151040.

The previous prime is 8116278589427. The next prime is 8116278589553. The reversal of 8116278589440 is 449858726118.

8116278589440 is a `hidden beast` number, since 8 + 1 + 1 + 6 + 2 + 7 + 8 + 589 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 11745699495 + ... + 11745700185.

Almost surely, 2^{8116278589440} is an apocalyptic number.

8116278589440 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 8116278589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000304702380).

8116278589440 is an abundant number, since it is smaller than the sum of its proper divisors (27884330815320).

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

8116278589440 is a wasteful number, since it uses less digits than its factorization.

8116278589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 8116278589440 in words is "eight trillion, one hundred sixteen billion, two hundred seventy-eight million, five hundred eighty-nine thousand, four hundred forty".