108285972480 has 1248 divisors, whose sum is σ = 463686612480. Its totient is φ = 22837985280.

The previous prime is 108285972461. The next prime is 108285972481. The reversal of 108285972480 is 84279582801.

108285972480 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 8 + 597 + 2 + 48 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108285972481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1216696276 + ... + 1216696364.

It is an arithmetic number, because the mean of its divisors is an integer number (371543760).

Almost surely, 2^108285972480 is an apocalyptic number.

108285972480 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 108285972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231843306240).

108285972480 is an abundant number, since it is smaller than the sum of its proper divisors (355400640000).

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

108285972480 is a wasteful number, since it uses less digits than its factorization.

108285972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 108285972480 in words is "one hundred eight billion, two hundred eighty-five million, nine hundred seventy-two thousand, four hundred eighty".