10541091624 has 128 divisors (see below), whose sum is σ = 31772313600. Its totient is φ = 2846949120.

The previous prime is 10541091623. The next prime is 10541091637. The reversal of 10541091624 is 42619014501.

It is a super-2 number, since 2×10541091624² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10541091623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1551114 + ... + 1557894.

It is an arithmetic number, because the mean of its divisors is an integer number (248221200).

Almost surely, 2^10541091624 is an apocalyptic number.

10541091624 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 10541091624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15886156800).

10541091624 is an abundant number, since it is smaller than the sum of its proper divisors (21231221976).

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

10541091624 is a wasteful number, since it uses less digits than its factorization.

10541091624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7303 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10541091624 in words is "ten billion, five hundred forty-one million, ninety-one thousand, six hundred twenty-four".