5001111105000 has 320 divisors, whose sum is σ = 16317795384000. Its totient is φ = 1275584256000.

The previous prime is 5001111104981. The next prime is 5001111105071. The reversal of 5001111105000 is 5011111005.

It is a super-2 number, since 2×5001111105000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32668636 + ... + 32821364.

It is an arithmetic number, because the mean of its divisors is an integer number (50993110575).

Almost surely, 2^{5001111105000} is an apocalyptic number.

5001111105000 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 5001111105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158897692000).

5001111105000 is an abundant number, since it is smaller than the sum of its proper divisors (11316684279000).

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

5001111105000 is a wasteful number, since it uses less digits than its factorization.

5001111105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152854 (or 152835 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 5001111105000 its reverse (5011111005), we get a palindrome (5006122216005).

The spelling of 5001111105000 in words is "five trillion, one billion, one hundred eleven million, one hundred five thousand".