51106400000 has 216 divisors, whose sum is σ = 128556178128. Its totient is φ = 20275200000.

The previous prime is 51106399969. The next prime is 51106400027. The reversal of 51106400000 is 460115.

It is a happy number.

It is a super-2 number, since 2×51106400000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154399835 + ... + 154400165.

Almost surely, 2^51106400000 is an apocalyptic number.

51106400000 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 51106400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64278089064).

51106400000 is an abundant number, since it is smaller than the sum of its proper divisors (77449778128).

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

51106400000 is an frugal number, since it uses more digits than its factorization.

51106400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 51106400000 its reverse (460115), we get a palindrome (51106860115).

The spelling of 51106400000 in words is "fifty-one billion, one hundred six million, four hundred thousand".