8168215910400 has 2304 divisors, whose sum is σ = 38217553920000. Its totient is φ = 1663232901120.

The previous prime is 8168215910383. The next prime is 8168215910441. The reversal of 8168215910400 is 40195128618.

It is a happy number.

8168215910400 is a `hidden beast` number, since 8 + 1 + 6 + 82 + 159 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3648152481 + ... + 3648154719.

It is an arithmetic number, because the mean of its divisors is an integer number (16587480000).

Almost surely, 2^{8168215910400} is an apocalyptic number.

8168215910400 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 8168215910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108776960000).

8168215910400 is an abundant number, since it is smaller than the sum of its proper divisors (30049338009600).

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

8168215910400 is a wasteful number, since it uses less digits than its factorization.

8168215910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 8168215910400 in words is "eight trillion, one hundred sixty-eight billion, two hundred fifteen million, nine hundred ten thousand, four hundred".