10581442560 has 608 divisors, whose sum is σ = 42278503680. Its totient is φ = 2491416576.

The previous prime is 10581442519. The next prime is 10581442591. The reversal of 10581442560 is 6524418501.

It is a happy number.

10581442560 is a `hidden beast` number, since 1 + 0 + 58 + 1 + 4 + 42 + 560 = 666.

It is a super-2 number, since 2×10581442560² (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 zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460062709 + ... + 460062731.

Almost surely, 2^10581442560 is an apocalyptic number.

10581442560 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 10581442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139251840).

10581442560 is an abundant number, since it is smaller than the sum of its proper divisors (31697061120).

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

10581442560 is an frugal number, since it uses more digits than its factorization.

10581442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10581442560 in words is "ten billion, five hundred eighty-one million, four hundred forty-two thousand, five hundred sixty".