10541253024 has 72 divisors (see below), whose sum is σ = 30096323712. Its totient is φ = 3499728000.

The previous prime is 10541252993. The next prime is 10541253031. The reversal of 10541253024 is 42035214501.

10541253024 is a `hidden beast` number, since 105 + 4 + 1 + 2 + 530 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10541253024² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624 + ... + 145199.

It is an arithmetic number, because the mean of its divisors is an integer number (418004496).

Almost surely, 2^10541253024 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 10541253024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048161856).

10541253024 is an abundant number, since it is smaller than the sum of its proper divisors (19555070688).

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

10541253024 is a wasteful number, since it uses less digits than its factorization.

10541253024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146090 (or 146079 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10541253024 its reverse (42035214501), we get a palindrome (52576467525).

The spelling of 10541253024 in words is "ten billion, five hundred forty-one million, two hundred fifty-three thousand, twenty-four".