10581480000 has 1680 divisors, whose sum is σ = 51989857920. Its totient is φ = 1990656000.

The previous prime is 10581479977. The next prime is 10581480001. The reversal of 10581480000 is 8418501.

10581480000 is a `hidden beast` number, since 1 + 0 + 581 + 4 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×10581480000² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (10581480001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 556919991 + ... + 556920009.

It is an arithmetic number, because the mean of its divisors is an integer number (30946344).

Almost surely, 2^10581480000 is an apocalyptic number.

10581480000 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 10581480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25994928960).

10581480000 is an abundant number, since it is smaller than the sum of its proper divisors (41408377920).

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

10581480000 is a wasteful number, since it uses less digits than its factorization.

10581480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 10581480000 its reverse (8418501), we get a palindrome (10589898501).

The spelling of 10581480000 in words is "ten billion, five hundred eighty-one million, four hundred eighty thousand".