10540056599424 has 384 divisors, whose sum is σ = 34198666145280. Its totient is φ = 3088322887680.

The previous prime is 10540056599417. The next prime is 10540056599441. The reversal of 10540056599424 is 42499565004501.

It is a happy number.

10540056599424 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 0 + 5 + 6 + 599 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10540056599424² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49326864 + ... + 49540080.

It is an arithmetic number, because the mean of its divisors is an integer number (89059026420).

Almost surely, 2^{10540056599424} 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 10540056599424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17099333072640).

10540056599424 is an abundant number, since it is smaller than the sum of its proper divisors (23658609545856).

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

10540056599424 is a wasteful number, since it uses less digits than its factorization.

10540056599424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213378 (or 213363 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 10540056599424 in words is "ten trillion, five hundred forty billion, fifty-six million, five hundred ninety-nine thousand, four hundred twenty-four".