10459750400 has 168 divisors, whose sum is σ = 28302746544. Its totient is φ = 3802726400.

The previous prime is 10459750373. The next prime is 10459750403. The reversal of 10459750400 is 405795401.

It is not an unprimeable number, because it can be changed into a prime (10459750403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2250479 + ... + 2255121.

Almost surely, 2^10459750400 is an apocalyptic number.

10459750400 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 10459750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151373272).

10459750400 is an abundant number, since it is smaller than the sum of its proper divisors (17842996144).

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

10459750400 is an equidigital number, since it uses as much as digits as its factorization.

10459750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 10459750400 in words is "ten billion, four hundred fifty-nine million, seven hundred fifty thousand, four hundred".