10000600480 has 96 divisors (see below), whose sum is σ = 25468808400. Its totient is φ = 3688906752.

The previous prime is 10000600453. The next prime is 10000600481. The reversal of 10000600480 is 8400600001.

It can be written as a sum of positive squares in 8 ways, for example, as 683717904 + 9316882576 = 26148^2 + 96524^2 .

It is not an unprimeable number, because it can be changed into a prime (10000600481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3095506 + ... + 3098734.

Almost surely, 2^10000600480 is an apocalyptic number.

10000600480 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 10000600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12734404200).

10000600480 is an abundant number, since it is smaller than the sum of its proper divisors (15468207920).

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

10000600480 is a wasteful number, since it uses less digits than its factorization.

10000600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The spelling of 10000600480 in words is "ten billion, six hundred thousand, four hundred eighty".