10541653824 has 224 divisors, whose sum is σ = 30685150720. Its totient is φ = 3174432768.

The previous prime is 10541653813. The next prime is 10541653883. The reversal of 10541653824 is 42835614501.

It is a super-2 number, since 2×10541653824² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38056374 + ... + 38056650.

It is an arithmetic number, because the mean of its divisors is an integer number (136987280).

Almost surely, 2^10541653824 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 10541653824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15342575360).

10541653824 is an abundant number, since it is smaller than the sum of its proper divisors (20143496896).

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

10541653824 is a wasteful number, since it uses less digits than its factorization.

10541653824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 10541653824 in words is "ten billion, five hundred forty-one million, six hundred fifty-three thousand, eight hundred twenty-four".