108580227840 has 1080 divisors, whose sum is σ = 460230392160. Its totient is φ = 23940956160.

The previous prime is 108580227839. The next prime is 108580227857. The reversal of 108580227840 is 48722085801.

It is a happy number.

108580227840 is a `hidden beast` number, since 1 + 0 + 8 + 580 + 2 + 27 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×108580227840² (a number of 23 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 1220002516 + ... + 1220002604.

It is an arithmetic number, because the mean of its divisors is an integer number (426139252).

Almost surely, 2^108580227840 is an apocalyptic number.

108580227840 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 108580227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230115196080).

108580227840 is an abundant number, since it is smaller than the sum of its proper divisors (351650164320).

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

108580227840 is an frugal number, since it uses more digits than its factorization.

108580227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 108580227840 in words is "one hundred eight billion, five hundred eighty million, two hundred twenty-seven thousand, eight hundred forty".