8495956218240 has 512 divisors, whose sum is σ = 30902259456000. Its totient is φ = 2204958965760.

The previous prime is 8495956218221. The next prime is 8495956218241. The reversal of 8495956218240 is 428126595948.

8495956218240 is a `hidden beast` number, since 8 + 4 + 9 + 59 + 562 + 18 + 2 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8495956218241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145347420 + ... + 145405860.

It is an arithmetic number, because the mean of its divisors is an integer number (60355975500).

Almost surely, 2^{8495956218240} is an apocalyptic number.

8495956218240 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 8495956218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451129728000).

8495956218240 is an abundant number, since it is smaller than the sum of its proper divisors (22406303237760).

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

8495956218240 is a wasteful number, since it uses less digits than its factorization.

8495956218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58695 (or 58677 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 8495956218240 in words is "eight trillion, four hundred ninety-five billion, nine hundred fifty-six million, two hundred eighteen thousand, two hundred forty".