10541087424 has 336 divisors, whose sum is σ = 35645539072. Its totient is φ = 2915813376.

The previous prime is 10541087419. The next prime is 10541087521. The reversal of 10541087424 is 42478014501.

It is a happy number.

10541087424 is a `hidden beast` number, since 10 + 541 + 0 + 87 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10541087424² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28260102 + ... + 28260474.

Almost surely, 2^10541087424 is an apocalyptic number.

10541087424 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 10541087424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17822769536).

10541087424 is an abundant number, since it is smaller than the sum of its proper divisors (25104451648).

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

10541087424 is a wasteful number, since it uses less digits than its factorization.

10541087424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 10541087424 in words is "ten billion, five hundred forty-one million, eighty-seven thousand, four hundred twenty-four".