10259858400 has 576 divisors, whose sum is σ = 38778518016. Its totient is φ = 2331648000.

The previous prime is 10259858383. The next prime is 10259858407. The reversal of 10259858400 is 485895201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10259858407) 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 95 ways as a sum of consecutive naturals, for example, 37039062 + ... + 37039338.

It is an arithmetic number, because the mean of its divisors is an integer number (67323816).

Almost surely, 2^10259858400 is an apocalyptic number.

10259858400 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 10259858400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389259008).

10259858400 is an abundant number, since it is smaller than the sum of its proper divisors (28518659616).

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

10259858400 is a wasteful number, since it uses less digits than its factorization.

10259858400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 10259858400 in words is "ten billion, two hundred fifty-nine million, eight hundred fifty-eight thousand, four hundred".