10289912887800 has 1728 divisors, whose sum is σ = 47319083884800. Its totient is φ = 1977318604800.

The previous prime is 10289912887763. The next prime is 10289912887883. The reversal of 10289912887800 is 878821998201.

10289912887800 is a `hidden beast` number, since 1 + 0 + 289 + 9 + 1 + 288 + 78 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 604249686 + ... + 604266714.

It is an arithmetic number, because the mean of its divisors is an integer number (27383729100).

Almost surely, 2^{10289912887800} is an apocalyptic number.

10289912887800 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 10289912887800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23659541942400).

10289912887800 is an abundant number, since it is smaller than the sum of its proper divisors (37029170997000).

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

10289912887800 is a wasteful number, since it uses less digits than its factorization.

10289912887800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17126 (or 17107 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 63.

The spelling of 10289912887800 in words is "ten trillion, two hundred eighty-nine billion, nine hundred twelve million, eight hundred eighty-seven thousand, eight hundred".