10481258304 has 224 divisors, whose sum is σ = 33864499200. Its totient is φ = 3152494080.

The previous prime is 10481258279. The next prime is 10481258321. The reversal of 10481258304 is 40385218401.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2640129 + ... + 2644095.

It is an arithmetic number, because the mean of its divisors is an integer number (151180800).

Almost surely, 2^10481258304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10481258304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16932249600).

10481258304 is an abundant number, since it is smaller than the sum of its proper divisors (23383240896).

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

10481258304 is a wasteful number, since it uses less digits than its factorization.

10481258304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10481258304 in words is "ten billion, four hundred eighty-one million, two hundred fifty-eight thousand, three hundred four".