5111100500000 has 252 divisors, whose sum is σ = 13825500336018. Its totient is φ = 1858560000000.

The previous prime is 5111100499961. The next prime is 5111100500057. The reversal of 5111100500000 is 50011115.

It can be written as a sum of positive squares in 7 ways, for example, as 4105308136336 + 1005792363664 = 2026156^2 + 1002892^2 .

It is a super-2 number, since 2×5111100500000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 60457760 + ... + 60542240.

Almost surely, 2^{5111100500000} is an apocalyptic number.

5111100500000 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 5111100500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912750168009).

5111100500000 is an abundant number, since it is smaller than the sum of its proper divisors (8714399836018).

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

5111100500000 is an frugal number, since it uses more digits than its factorization.

5111100500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84543 (or 84499 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 5111100500000 its reverse (50011115), we get a palindrome (5111150511115).

The spelling of 5111100500000 in words is "five trillion, one hundred eleven billion, one hundred million, five hundred thousand".