10801431872 has 168 divisors, whose sum is σ = 27857988480. Its totient is φ = 4062643200.

The previous prime is 10801431869. The next prime is 10801431887. The reversal of 10801431872 is 27813410801.

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, 1568597 + ... + 1575467.

It is an arithmetic number, because the mean of its divisors is an integer number (165821360).

Almost surely, 2^10801431872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10801431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13928994240).

10801431872 is an abundant number, since it is smaller than the sum of its proper divisors (17056556608).

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

10801431872 is a wasteful number, since it uses less digits than its factorization.

10801431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6941 (or 6920 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 10801431872 in words is "ten billion, eight hundred one million, four hundred thirty-one thousand, eight hundred seventy-two".