10189559502144 has 896 divisors, whose sum is σ = 34875069696000. Its totient is φ = 2884958208000.

The previous prime is 10189559502137. The next prime is 10189559502251. The reversal of 10189559502144 is 44120595598101.

10189559502144 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 9 + 5 + 595 + 0 + 2 + 1 + 44 = 666.

It is a super-2 number, since 2×10189559502144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14918827627 + ... + 14918828309.

Almost surely, 2^{10189559502144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10189559502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437534848000).

10189559502144 is an abundant number, since it is smaller than the sum of its proper divisors (24685510193856).

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

10189559502144 is a wasteful number, since it uses less digits than its factorization.

10189559502144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 10189559502144 in words is "ten trillion, one hundred eighty-nine billion, five hundred fifty-nine million, five hundred two thousand, one hundred forty-four".