108895836741120 has 5120 divisors, whose sum is σ = 528863750553600. Its totient is φ = 20769071431680.

The previous prime is 108895836741119. The next prime is 108895836741151. The reversal of 108895836741120 is 21147638598801.

108895836741120 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 9 + 583 + 6 + 7 + 41 + 1 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 73429423899 + ... + 73429425381.

It is an arithmetic number, because the mean of its divisors is an integer number (103293701280).

It is a 1-persistent number, because it is pandigital, but 2⋅108895836741120 = 217791673482240 is not.

Almost surely, 2^{108895836741120} is an apocalyptic number.

108895836741120 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 108895836741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264431875276800).

108895836741120 is an abundant number, since it is smaller than the sum of its proper divisors (419967913812480).

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

108895836741120 is a wasteful number, since it uses less digits than its factorization.

108895836741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 108895836741120 in words is "one hundred eight trillion, eight hundred ninety-five billion, eight hundred thirty-six million, seven hundred forty-one thousand, one hundred twenty".