10259187244800 has 432 divisors, whose sum is σ = 36901249085568. Its totient is φ = 2494907596800.

The previous prime is 10259187244793. The next prime is 10259187244811. The reversal of 10259187244800 is 844278195201.

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 47 ways as a sum of consecutive naturals, for example, 20469195 + ... + 20964405.

Almost surely, 2^{10259187244800} is an apocalyptic number.

10259187244800 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 10259187244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18450624542784).

10259187244800 is an abundant number, since it is smaller than the sum of its proper divisors (26642061840768).

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

10259187244800 is a wasteful number, since it uses less digits than its factorization.

10259187244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495336 (or 495317 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 10259187244800 in words is "ten trillion, two hundred fifty-nine billion, one hundred eighty-seven million, two hundred forty-four thousand, eight hundred".