10008568500480 has 720 divisors, whose sum is σ = 39095596862784. Its totient is φ = 2424616796160.

The previous prime is 10008568500461. The next prime is 10008568500487. The reversal of 10008568500480 is 8400586580001.

10008568500480 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 8 + 5 + 68 + 500 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10008568500487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2551251799 + ... + 2551255721.

Almost surely, 2^{10008568500480} is an apocalyptic number.

10008568500480 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 10008568500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19547798431392).

10008568500480 is an abundant number, since it is smaller than the sum of its proper divisors (29087028362304).

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

10008568500480 is a wasteful number, since it uses less digits than its factorization.

10008568500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 10008568500480 in words is "ten trillion, eight billion, five hundred sixty-eight million, five hundred thousand, four hundred eighty".