10581425280 has 384 divisors, whose sum is σ = 39897748800. Its totient is φ = 2672455680.

The previous prime is 10581425227. The next prime is 10581425303. The reversal of 10581425280 is 8252418501.

10581425280 is a `hidden beast` number, since 10 + 5 + 81 + 42 + 528 + 0 = 666.

10581425280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×10581425280² (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 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, 2953090 + ... + 2956670.

Almost surely, 2^10581425280 is an apocalyptic number.

10581425280 is a gapful number since it is divisible by the number (10) 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 10581425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948874400).

10581425280 is an abundant number, since it is smaller than the sum of its proper divisors (29316323520).

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

10581425280 is an equidigital number, since it uses as much as digits as its factorization.

10581425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 10581425280 in words is "ten billion, five hundred eighty-one million, four hundred twenty-five thousand, two hundred eighty".