51012477600 has 288 divisors, whose sum is σ = 192443682816. Its totient is φ = 11495500800.

The previous prime is 51012477563. The next prime is 51012477601. The reversal of 51012477600 is 677421015.

It is not an unprimeable number, because it can be changed into a prime (51012477601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1171417 + ... + 1214183.

It is an arithmetic number, because the mean of its divisors is an integer number (668207232).

Almost surely, 2^51012477600 is an apocalyptic number.

51012477600 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 51012477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96221841408).

51012477600 is an abundant number, since it is smaller than the sum of its proper divisors (141431205216).

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

51012477600 is a wasteful number, since it uses less digits than its factorization.

51012477600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42868 (or 42855 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

Adding to 51012477600 its reverse (677421015), we get a palindrome (51689898615).

The spelling of 51012477600 in words is "fifty-one billion, twelve million, four hundred seventy-seven thousand, six hundred".