10881673140 has 192 divisors, whose sum is σ = 34970552064. Its totient is φ = 2504466432.

The previous prime is 10881673139. The next prime is 10881673147. The reversal of 10881673140 is 4137618801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10881673147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2079207 + ... + 2084433.

It is an arithmetic number, because the mean of its divisors is an integer number (182138292).

Almost surely, 2^10881673140 is an apocalyptic number.

10881673140 is a gapful number since it is divisible by the number (10) 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 10881673140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17485276032).

10881673140 is an abundant number, since it is smaller than the sum of its proper divisors (24088878924).

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

10881673140 is a wasteful number, since it uses less digits than its factorization.

10881673140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 10881673140 in words is "ten billion, eight hundred eighty-one million, six hundred seventy-three thousand, one hundred forty".