10900581120 has 648 divisors, whose sum is σ = 44639365680. Its totient is φ = 2434498560.

The previous prime is 10900581091. The next prime is 10900581151. The reversal of 10900581120 is 2118500901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21415426 + ... + 21415934.

It is an arithmetic number, because the mean of its divisors is an integer number (68887910).

Almost surely, 2^10900581120 is an apocalyptic number.

10900581120 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 10900581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22319682840).

10900581120 is an abundant number, since it is smaller than the sum of its proper divisors (33738784560).

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

10900581120 is a wasteful number, since it uses less digits than its factorization.

10900581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 10900581120 in words is "ten billion, nine hundred million, five hundred eighty-one thousand, one hundred twenty".