51110006105000 has 160 divisors (see below), whose sum is σ = 120412127784960. Its totient is φ = 20331152160000.

The previous prime is 51110006104999. The next prime is 51110006105003. The reversal of 51110006105000 is 50160001115.

It is a super-2 number, since 2×51110006105000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (51110006105003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5169410057 + ... + 5169419943.

It is an arithmetic number, because the mean of its divisors is an integer number (752575798656).

Almost surely, 2^{51110006105000} is an apocalyptic number.

51110006105000 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 51110006105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60206063892480).

51110006105000 is an abundant number, since it is smaller than the sum of its proper divisors (69302121679960).

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

51110006105000 is a wasteful number, since it uses less digits than its factorization.

51110006105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15517 (or 15498 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 51110006105000 its reverse (50160001115), we get a palindrome (51160166106115).

The spelling of 51110006105000 in words is "fifty-one trillion, one hundred ten billion, six million, one hundred five thousand".