10540088944 has 180 divisors, whose sum is σ = 27535726440. Its totient is φ = 3864053760.

The previous prime is 10540088941. The next prime is 10540088957. The reversal of 10540088944 is 44988004501.

It is a super-2 number, since 2×10540088944² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10540088944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540088941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2490222 + ... + 2494450.

It is an arithmetic number, because the mean of its divisors is an integer number (152976258).

Almost surely, 2^10540088944 is an apocalyptic number.

10540088944 is a gapful number since it is divisible by the number (14) 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 10540088944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13767863220).

10540088944 is an abundant number, since it is smaller than the sum of its proper divisors (16995637496).

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

10540088944 is a wasteful number, since it uses less digits than its factorization.

10540088944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 10540088944 in words is "ten billion, five hundred forty million, eighty-eight thousand, nine hundred forty-four".