51110841600 has 1296 divisors, whose sum is σ = 230644960000. Its totient is φ = 10729635840.

The previous prime is 51110841571. The next prime is 51110841623. The reversal of 51110841600 is 614801115.

51110841600 is a `hidden beast` number, since 5 + 1 + 1 + 10 + 8 + 41 + 600 = 666.

It is a super-3 number, since 3×51110841600³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 256838301 + ... + 256838499.

Almost surely, 2^51110841600 is an apocalyptic number.

51110841600 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 51110841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115322480000).

51110841600 is an abundant number, since it is smaller than the sum of its proper divisors (179534118400).

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

51110841600 is a wasteful number, since it uses less digits than its factorization.

51110841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 51110841600 in words is "fifty-one billion, one hundred ten million, eight hundred forty-one thousand, six hundred".