5289613119000 has 512 divisors, whose sum is σ = 21122054553600. Its totient is φ = 1199528870400.

The previous prime is 5289613118939. The next prime is 5289613119041. The reversal of 5289613119000 is 9113169825.

5289613119000 is a `hidden beast` number, since 5 + 28 + 9 + 613 + 1 + 1 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×5289613119000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 23892814 + ... + 24113186.

It is an arithmetic number, because the mean of its divisors is an integer number (41254012800).

Almost surely, 2^{5289613119000} is an apocalyptic number.

5289613119000 is a gapful number since it is divisible by the number (50) 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 5289613119000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561027276800).

5289613119000 is an abundant number, since it is smaller than the sum of its proper divisors (15832441434600).

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

5289613119000 is a wasteful number, since it uses less digits than its factorization.

5289613119000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220537 (or 220517 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 5289613119000 in words is "five trillion, two hundred eighty-nine billion, six hundred thirteen million, one hundred nineteen thousand".