108075496320000 has 3520 divisors, whose sum is σ = 455369051258880. Its totient is φ = 25291284480000.

The previous prime is 108075496319981. The next prime is 108075496320023. The reversal of 108075496320000 is 23694570801.

108075496320000 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 7 + 5 + 4 + 9 + 632 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 850988159937 + ... + 850988160063.

It is an arithmetic number, because the mean of its divisors is an integer number (129366207744).

It is a 1-persistent number, because it is pandigital, but 2⋅108075496320000 = 216150992640000 is not.

Almost surely, 2^{108075496320000} is an apocalyptic number.

108075496320000 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 108075496320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227684525629440).

108075496320000 is an abundant number, since it is smaller than the sum of its proper divisors (347293554938880).

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

108075496320000 is an equidigital number, since it uses as much as digits as its factorization.

108075496320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 108075496320000 in words is "one hundred eight trillion, seventy-five billion, four hundred ninety-six million, three hundred twenty thousand".