51050051010600 has 192 divisors, whose sum is σ = 158646885681600. Its totient is φ = 13579683870720.

The previous prime is 51050051010529. The next prime is 51050051010641. The reversal of 51050051010600 is 601015005015.

It is a super-2 number, since 2×51050051010600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490771396 + ... + 490875404.

It is an arithmetic number, because the mean of its divisors is an integer number (826285862925).

Almost surely, 2^{51050051010600} is an apocalyptic number.

51050051010600 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 51050051010600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79323442840800).

51050051010600 is an abundant number, since it is smaller than the sum of its proper divisors (107596834671000).

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

51050051010600 is a wasteful number, since it uses less digits than its factorization.

51050051010600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106044 (or 106035 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 51050051010600 its reverse (601015005015), we get a palindrome (51651066015615).

The spelling of 51050051010600 in words is "fifty-one trillion, fifty billion, fifty-one million, ten thousand, six hundred".