10872900864 has 756 divisors, whose sum is σ = 40113121860. Its totient is φ = 2926264320.

The previous prime is 10872900859. The next prime is 10872900931. The reversal of 10872900864 is 46800927801.

It can be written as a sum of positive squares in 2 ways, for example, as 2642782464 + 8230118400 = 51408^2 + 90720^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 265192684 + ... + 265192724.

It is an arithmetic number, because the mean of its divisors is an integer number (53059685).

Almost surely, 2^10872900864 is an apocalyptic number.

10872900864 is a gapful number since it is divisible by the number (14) 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 10872900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20056560930).

10872900864 is an abundant number, since it is smaller than the sum of its proper divisors (29240220996).

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

10872900864 is an frugal number, since it uses more digits than its factorization.

10872900864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10872900864 in words is "ten billion, eight hundred seventy-two million, nine hundred thousand, eight hundred sixty-four".