10258485600 has 288 divisors, whose sum is σ = 36932886144. Its totient is φ = 2452377600.

The previous prime is 10258485581. The next prime is 10258485613. The reversal of 10258485600 is 658485201.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1924539 + ... + 1929861.

It is an arithmetic number, because the mean of its divisors is an integer number (128239188).

Almost surely, 2^10258485600 is an apocalyptic number.

10258485600 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 10258485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18466443072).

10258485600 is an abundant number, since it is smaller than the sum of its proper divisors (26674400544).

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

10258485600 is a wasteful number, since it uses less digits than its factorization.

10258485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 10258485600 in words is "ten billion, two hundred fifty-eight million, four hundred eighty-five thousand, six hundred".