8395082777088 has 800 divisors, whose sum is σ = 30221272857600. Its totient is φ = 2266523099136.

The previous prime is 8395082777057. The next prime is 8395082777113. The reversal of 8395082777088 is 8807772805938.

8395082777088 is a `hidden beast` number, since 8 + 39 + 508 + 2 + 7 + 7 + 7 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2421423931 + ... + 2421427397.

It is an arithmetic number, because the mean of its divisors is an integer number (37776591072).

Almost surely, 2^{8395082777088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8395082777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110636428800).

8395082777088 is an abundant number, since it is smaller than the sum of its proper divisors (21826190080512).

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

8395082777088 is a wasteful number, since it uses less digits than its factorization.

8395082777088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 8395082777088 in words is "eight trillion, three hundred ninety-five billion, eighty-two million, seven hundred seventy-seven thousand, eighty-eight".