51100005111060 has 192 divisors, whose sum is σ = 144773748725760. Its totient is φ = 13466063116800.

The previous prime is 51100005111041. The next prime is 51100005111061. The reversal of 51100005111060 is 6011150000115.

It is a happy number.

51100005111060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51100005111060² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51100005111061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4797666735 + ... + 4797677385.

It is an arithmetic number, because the mean of its divisors is an integer number (754029941280).

Almost surely, 2^{51100005111060} 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 51100005111060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72386874362880).

51100005111060 is an abundant number, since it is smaller than the sum of its proper divisors (93673743614700).

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

51100005111060 is a wasteful number, since it uses less digits than its factorization.

51100005111060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12638 (or 12636 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 51100005111060 its reverse (6011150000115), we get a palindrome (57111155111175).

The spelling of 51100005111060 in words is "fifty-one trillion, one hundred billion, five million, one hundred eleven thousand, sixty".