10259988480 has 612 divisors, whose sum is σ = 41957399952. Its totient is φ = 2312110080.

The previous prime is 10259988463. The next prime is 10259988509. The reversal of 10259988480 is 8488995201.

10259988480 is a `hidden beast` number, since 1 + 0 + 2 + 599 + 8 + 8 + 48 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144506845 + ... + 144506915.

Almost surely, 2^10259988480 is an apocalyptic number.

10259988480 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 10259988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20978699976).

10259988480 is an abundant number, since it is smaller than the sum of its proper divisors (31697411472).

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

10259988480 is an frugal number, since it uses more digits than its factorization.

10259988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 10259988480 in words is "ten billion, two hundred fifty-nine million, nine hundred eighty-eight thousand, four hundred eighty".