5101111680 has 384 divisors, whose sum is σ = 19255968000. Its totient is φ = 1144958976.

The previous prime is 5101111663. The next prime is 5101111699. The reversal of 5101111680 is 861111015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5101111680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5550261 + ... + 5551179.

It is an arithmetic number, because the mean of its divisors is an integer number (50145750).

Almost surely, 2^5101111680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9627984000).

5101111680 is an abundant number, since it is smaller than the sum of its proper divisors (14154856320).

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

5101111680 is a wasteful number, since it uses less digits than its factorization.

5101111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 24.

The square root of 5101111680 is about 71422.0671781488. The cubic root of 5101111680 is about 1721.4256793182.

Adding to 5101111680 its reverse (861111015), we get a palindrome (5962222695).

The spelling of 5101111680 in words is "five billion, one hundred one million, one hundred eleven thousand, six hundred eighty".