10260469800 has 288 divisors, whose sum is σ = 40468094400. Its totient is φ = 2340748800.

The previous prime is 10260469777. The next prime is 10260469861. The reversal of 10260469800 is 896406201.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 19693540 + ... + 19694060.

Almost surely, 2^10260469800 is an apocalyptic number.

10260469800 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 10260469800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20234047200).

10260469800 is an abundant number, since it is smaller than the sum of its proper divisors (30207624600).

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

10260469800 is an equidigital number, since it uses as much as digits as its factorization.

10260469800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10260469800 in words is "ten billion, two hundred sixty million, four hundred sixty-nine thousand, eight hundred".