10800972288 has 90 divisors (see below), whose sum is σ = 31192711407. Its totient is φ = 3597972480.

The previous prime is 10800972277. The next prime is 10800972307. The reversal of 10800972288 is 88227900801.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5400486144 + 5400486144 = 73488^2 + 73488^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=73488.

It is a super-2 number, since 2×10800972288² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7054083 + ... + 7055613.

Almost surely, 2^10800972288 is an apocalyptic number.

10800972288 is a gapful number since it is divisible by the number (18) 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 10800972288

10800972288 is an abundant number, since it is smaller than the sum of its proper divisors (20391739119).

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

10800972288 is an frugal number, since it uses more digits than its factorization.

10800972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10800972288 in words is "ten billion, eight hundred million, nine hundred seventy-two thousand, two hundred eighty-eight".