108190218240000 has 2400 divisors, whose sum is σ = 445750650132480. Its totient is φ = 25745817600000.

The previous prime is 108190218239959. The next prime is 108190218240023. The reversal of 108190218240000 is 42812091801.

It is a happy number.

108190218240000 is a `hidden beast` number, since 10 + 8 + 190 + 218 + 240 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 111421439515 + ... + 111421440485.

Almost surely, 2^{108190218240000} is an apocalyptic number.

108190218240000 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 108190218240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222875325066240).

108190218240000 is an abundant number, since it is smaller than the sum of its proper divisors (337560431892480).

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

108190218240000 is an frugal number, since it uses more digits than its factorization.

108190218240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 108190218240000 in words is "one hundred eight trillion, one hundred ninety billion, two hundred eighteen million, two hundred forty thousand".