5158189528800 has 576 divisors, whose sum is σ = 20961602371584. Its totient is φ = 1070360524800.

The previous prime is 5158189528721. The next prime is 5158189528801. The reversal of 5158189528800 is 88259818515.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5158189528801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137287617 + ... + 137325183.

It is an arithmetic number, because the mean of its divisors is an integer number (36391670784).

Almost surely, 2^{5158189528800} is an apocalyptic number.

5158189528800 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 5158189528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480801185792).

5158189528800 is an abundant number, since it is smaller than the sum of its proper divisors (15803412842784).

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

5158189528800 is a wasteful number, since it uses less digits than its factorization.

5158189528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38351 (or 38338 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 60.

The spelling of 5158189528800 in words is "five trillion, one hundred fifty-eight billion, one hundred eighty-nine million, five hundred twenty-eight thousand, eight hundred".