51106055120000 has 320 divisors, whose sum is σ = 128085351286200. Its totient is φ = 20304691200000.

The previous prime is 51106055119993. The next prime is 51106055120017. The reversal of 51106055120000 is 2155060115.

It can be written as a sum of positive squares in 20 ways, for example, as 20270925376 + 51085784194624 = 142376^2 + 7147432^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×51106055120000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7885516760 + ... + 7885523240.

Almost surely, 2^{51106055120000} is an apocalyptic number.

51106055120000 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 51106055120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64042675643100).

51106055120000 is an abundant number, since it is smaller than the sum of its proper divisors (76979296166200).

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

51106055120000 is an equidigital number, since it uses as much as digits as its factorization.

51106055120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7165 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

The spelling of 51106055120000 in words is "fifty-one trillion, one hundred six billion, fifty-five million, one hundred twenty thousand".