5105889152 has 128 divisors (see below), whose sum is σ = 13178726400. Its totient is φ = 1913518080.

The previous prime is 5105889127. The next prime is 5105889169. The reversal of 5105889152 is 2519885015.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×5105889152³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209777 + ... + 232847.

It is an arithmetic number, because the mean of its divisors is an integer number (102958800).

Almost surely, 2^5105889152 is an apocalyptic number.

5105889152 is a gapful number since it is divisible by the number (52) 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 5105889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589363200).

5105889152 is an abundant number, since it is smaller than the sum of its proper divisors (8072837248).

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

5105889152 is a wasteful number, since it uses less digits than its factorization.

5105889152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23124 (or 23112 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 44.

The square root of 5105889152 is about 71455.5047004778. The cubic root of 5105889152 is about 1721.9629149513.

The spelling of 5105889152 in words is "five billion, one hundred five million, eight hundred eighty-nine thousand, one hundred fifty-two".