10835680872 has 128 divisors (see below), whose sum is σ = 28615680000. Its totient is φ = 3414141696.

The previous prime is 10835680871. The next prime is 10835680909. The reversal of 10835680872 is 27808653801.

It is not an unprimeable number, because it can be changed into a prime (10835680871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15070129 + ... + 15070847.

It is an arithmetic number, because the mean of its divisors is an integer number (223560000).

Almost surely, 2^10835680872 is an apocalyptic number.

10835680872 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 10835680872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307840000).

10835680872 is an abundant number, since it is smaller than the sum of its proper divisors (17779999128).

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

10835680872 is a wasteful number, since it uses less digits than its factorization.

10835680872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 10835680872 in words is "ten billion, eight hundred thirty-five million, six hundred eighty thousand, eight hundred seventy-two".