108265248000 has 2304 divisors, whose sum is σ = 527120455680. Its totient is φ = 21499084800.

The previous prime is 108265247989. The next prime is 108265248043. The reversal of 108265248000 is 842562801.

108265248000 is a `hidden beast` number, since 108 + 26 + 52 + 480 + 0 + 0 = 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6368543992 + ... + 6368544008.

It is an arithmetic number, because the mean of its divisors is an integer number (228784920).

Almost surely, 2^108265248000 is an apocalyptic number.

108265248000 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 108265248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263560227840).

108265248000 is an abundant number, since it is smaller than the sum of its proper divisors (418855207680).

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

108265248000 is an frugal number, since it uses more digits than its factorization.

108265248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 108265248000 in words is "one hundred eight billion, two hundred sixty-five million, two hundred forty-eight thousand".