8116295040000 has 1760 divisors, whose sum is σ = 36355364559360. Its totient is φ = 1745584128000.

The previous prime is 8116295039987. The next prime is 8116295040001. The reversal of 8116295040000 is 405926118.

8116295040000 is a `hidden beast` number, since 8 + 1 + 162 + 95 + 0 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8116295040001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2056318027 + ... + 2056321973.

It is an arithmetic number, because the mean of its divisors is an integer number (20656457136).

Almost surely, 2^{8116295040000} is an apocalyptic number.

8116295040000 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 8116295040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177682279680).

8116295040000 is an abundant number, since it is smaller than the sum of its proper divisors (28239069519360).

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

8116295040000 is a wasteful number, since it uses less digits than its factorization.

8116295040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 8116295040000 in words is "eight trillion, one hundred sixteen billion, two hundred ninety-five million, forty thousand".