10541380608 has 528 divisors, whose sum is σ = 36067812480. Its totient is φ = 3033169920.

The previous prime is 10541380601. The next prime is 10541380609. The reversal of 10541380608 is 80608314501.

10541380608 is a `hidden beast` number, since 1 + 0 + 5 + 41 + 3 + 8 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×10541380608² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541380601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76944316 + ... + 76944452.

Almost surely, 2^10541380608 is an apocalyptic number.

10541380608 is a gapful number since it is divisible by the number (18) 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 10541380608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18033906240).

10541380608 is an abundant number, since it is smaller than the sum of its proper divisors (25526431872).

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

10541380608 is a wasteful number, since it uses less digits than its factorization.

10541380608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10541380608 in words is "ten billion, five hundred forty-one million, three hundred eighty thousand, six hundred eight".