10000541544 has 128 divisors (see below), whose sum is σ = 29131468800. Its totient is φ = 2801744640.

The previous prime is 10000541501. The next prime is 10000541549. The reversal of 10000541544 is 44514500001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10000541549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3759687 + ... + 3762345.

It is an arithmetic number, because the mean of its divisors is an integer number (227589600).

Almost surely, 2^10000541544 is an apocalyptic number.

10000541544 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 10000541544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565734400).

10000541544 is an abundant number, since it is smaller than the sum of its proper divisors (19130927256).

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

10000541544 is a wasteful number, since it uses less digits than its factorization.

10000541544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 10000541544 in words is "ten billion, five hundred forty-one thousand, five hundred forty-four".