10189008887904 has 2016 divisors, whose sum is σ = 39740344574112. Its totient is φ = 2560742553600.

The previous prime is 10189008887839. The next prime is 10189008887917. The reversal of 10189008887904 is 40978880098101.

It is a tau number, because it is divible by the number of its divisors (2016).

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 335 ways as a sum of consecutive naturals, for example, 56292866694 + ... + 56292866874.

It is an arithmetic number, because the mean of its divisors is an integer number (19712472507).

Almost surely, 2^{10189008887904} is an apocalyptic number.

10189008887904 is a gapful number since it is divisible by the number (14) 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 10189008887904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19870172287056).

10189008887904 is an abundant number, since it is smaller than the sum of its proper divisors (29551335686208).

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

10189008887904 is an equidigital number, since it uses as much as digits as its factorization.

10189008887904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 241 counting only the distinct ones).

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

The spelling of 10189008887904 in words is "ten trillion, one hundred eighty-nine billion, eight million, eight hundred eighty-seven thousand, nine hundred four".