108617216198400 has 6048 divisors, whose sum is σ = 530562891801600. Its totient is φ = 21824079298560.

The previous prime is 108617216198363. The next prime is 108617216198401. The reversal of 108617216198400 is 4891612716801.

108617216198400 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 1 + 7 + 216 + 19 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108617216198401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 478489939087 + ... + 478489939313.

Almost surely, 2^{108617216198400} is an apocalyptic number.

108617216198400 is a gapful number since it is divisible by the number (10) 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 108617216198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265281445900800).

108617216198400 is an abundant number, since it is smaller than the sum of its proper divisors (421945675603200).

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

108617216198400 is an equidigital number, since it uses as much as digits as its factorization.

108617216198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 108617216198400 in words is "one hundred eight trillion, six hundred seventeen billion, two hundred sixteen million, one hundred ninety-eight thousand, four hundred".