10827103872 has 128 divisors (see below), whose sum is σ = 31098755520. Its totient is φ = 3317760000.

The previous prime is 10827103867. The next prime is 10827103877. The reversal of 10827103872 is 27830172801.

It is an interprime number because it is at equal distance from previous prime (10827103867) and next prime (10827103877).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 10827103872.

It is not an unprimeable number, because it can be changed into a prime (10827103877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248672 + ... + 1257312.

Almost surely, 2^10827103872 is an apocalyptic number.

10827103872 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 10827103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549377760).

10827103872 is an abundant number, since it is smaller than the sum of its proper divisors (20271651648).

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

10827103872 is a wasteful number, since it uses less digits than its factorization.

10827103872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8922 (or 8910 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 10827103872 in words is "ten billion, eight hundred twenty-seven million, one hundred three thousand, eight hundred seventy-two".