108961542056640 has 1792 divisors, whose sum is σ = 467199000576000. Its totient is φ = 20857438863360.

The previous prime is 108961542056581. The next prime is 108961542056659. The reversal of 108961542056640 is 46650245169801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12108178861 + ... + 12108187859.

It is an arithmetic number, because the mean of its divisors is an integer number (260713728000).

Almost surely, 2^{108961542056640} is an apocalyptic number.

108961542056640 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 108961542056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233599500288000).

108961542056640 is an abundant number, since it is smaller than the sum of its proper divisors (358237458519360).

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

108961542056640 is a wasteful number, since it uses less digits than its factorization.

108961542056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9350 (or 9340 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 108961542056640 in words is "one hundred eight trillion, nine hundred sixty-one billion, five hundred forty-two million, fifty-six thousand, six hundred forty".