10258994800 has 60 divisors (see below), whose sum is σ = 24683069736. Its totient is φ = 4097632000.

The previous prime is 10258994783. The next prime is 10258994831. The reversal of 10258994800 is 849985201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262107 + ... + 298693.

Almost surely, 2^10258994800 is an apocalyptic number.

10258994800 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 10258994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12341534868).

10258994800 is an abundant number, since it is smaller than the sum of its proper divisors (14424074936).

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

10258994800 is a wasteful number, since it uses less digits than its factorization.

10258994800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37306 (or 37295 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 10258994800 in words is "ten billion, two hundred fifty-eight million, nine hundred ninety-four thousand, eight hundred".