108411264000 has 1408 divisors, whose sum is σ = 457794355200. Its totient is φ = 25082265600.

The previous prime is 108411263993. The next prime is 108411264001. The reversal of 108411264000 is 462114801.

It is a happy number.

108411264000 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 1 + 12 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108411264001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 853631937 + ... + 853632063.

Almost surely, 2^108411264000 is an apocalyptic number.

108411264000 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 108411264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228897177600).

108411264000 is an abundant number, since it is smaller than the sum of its proper divisors (349383091200).

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

108411264000 is a wasteful number, since it uses less digits than its factorization.

108411264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 108411264000 its reverse (462114801), we get a palindrome (108873378801).

The spelling of 108411264000 in words is "one hundred eight billion, four hundred eleven million, two hundred sixty-four thousand".