10872588384 has 144 divisors (see below), whose sum is σ = 35384338080. Its totient is φ = 3102197760.

The previous prime is 10872588347. The next prime is 10872588409. The reversal of 10872588384 is 48388527801.

10872588384 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 258 + 8 + 384 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10872588384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1651852 + ... + 1658420.

It is an arithmetic number, because the mean of its divisors is an integer number (245724570).

Almost surely, 2^10872588384 is an apocalyptic number.

10872588384 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 10872588384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692169040).

10872588384 is an abundant number, since it is smaller than the sum of its proper divisors (24511749696).

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

10872588384 is a wasteful number, since it uses less digits than its factorization.

10872588384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7413 (or 7402 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 10872588384 in words is "ten billion, eight hundred seventy-two million, five hundred eighty-eight thousand, three hundred eighty-four".