108277872480 has 144 divisors (see below), whose sum is σ = 370235305440. Its totient is φ = 28816502784.

The previous prime is 108277872463. The next prime is 108277872481. The reversal of 108277872480 is 84278772801.

108277872480 is a `hidden beast` number, since 1 + 0 + 8 + 27 + 78 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108277872481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649576 + ... + 799064.

It is an arithmetic number, because the mean of its divisors is an integer number (2571078510).

Almost surely, 2^108277872480 is an apocalyptic number.

108277872480 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 108277872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185117652720).

108277872480 is an abundant number, since it is smaller than the sum of its proper divisors (261957432960).

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

108277872480 is a wasteful number, since it uses less digits than its factorization.

108277872480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150013 (or 150002 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 108277872480 in words is "one hundred eight billion, two hundred seventy-seven million, eight hundred seventy-two thousand, four hundred eighty".