108288540672 has 192 divisors, whose sum is σ = 311921981280. Its totient is φ = 33218887680.

The previous prime is 108288540653. The next prime is 108288540677. The reversal of 108288540672 is 276045882801.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×108288540672³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (108288540677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327155547 + ... + 327155877.

Almost surely, 2^108288540672 is an apocalyptic number.

108288540672 is a gapful number since it is divisible by the number (12) 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 108288540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155960990640).

108288540672 is an abundant number, since it is smaller than the sum of its proper divisors (203633440608).

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

108288540672 is an frugal number, since it uses more digits than its factorization.

108288540672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 108288540672 in words is "one hundred eight billion, two hundred eighty-eight million, five hundred forty thousand, six hundred seventy-two".