108980048160 has 384 divisors, whose sum is σ = 387037647360. Its totient is φ = 28637134848.

The previous prime is 108980048143. The next prime is 108980048179. The reversal of 108980048160 is 61840089801.

108980048160 is a `hidden beast` number, since 10 + 89 + 80 + 0 + 481 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114354244 + ... + 114355196.

It is an arithmetic number, because the mean of its divisors is an integer number (1007910540).

Almost surely, 2^108980048160 is an apocalyptic number.

108980048160 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 108980048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193518823680).

108980048160 is an abundant number, since it is smaller than the sum of its proper divisors (278057599200).

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

108980048160 is a wasteful number, since it uses less digits than its factorization.

108980048160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 108980048160 in words is "one hundred eight billion, nine hundred eighty million, forty-eight thousand, one hundred sixty".